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Finding the Fourth Proportional to 56,897.78, 78,518.94 and 31,747.28

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Solution

The fourth proportional to 56,897.78, 78,518.94 and 31,747.28 is: 43,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,897.78 : 78,518.94 = 31,747.28 : x
  2. Step 2: Convert to fraction form
    56,897.78/78,518.94 = 31,747.28/x
  3. Step 3: Cross multiply
    56,897.78x = 78,518.94 × 31,747.28
  4. Step 4: Simplify right side
    56,897.78x = 2,492,762,773.48
  5. Step 5: Solve for x
    x = 2,492,762,773.48/56,897.78
  6. Step 6: Final answer
    x = 43,811.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.