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Finding the Fourth Proportional to 31,841,659.86, 47,762,227.44 and 9,122,578.98

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Solution

The fourth proportional to 31,841,659.86, 47,762,227.44 and 9,122,578.98 is: 13,683,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841,659.86 : 47,762,227.44 = 9,122,578.98 : x
  2. Step 2: Convert to fraction form
    31,841,659.86/47,762,227.44 = 9,122,578.98/x
  3. Step 3: Cross multiply
    31,841,659.86x = 47,762,227.44 × 9,122,578.98
  4. Step 4: Simplify right side
    31,841,659.86x = 435,714,692,082,123.19
  5. Step 5: Solve for x
    x = 435,714,692,082,123.19/31,841,659.86
  6. Step 6: Final answer
    x = 13,683,793.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.