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Finding the Fourth Proportional to 31,699.16, 47,533.35 and 15,897.41

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Solution

The fourth proportional to 31,699.16, 47,533.35 and 15,897.41 is: 23,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.16 : 47,533.35 = 15,897.41 : x
  2. Step 2: Convert to fraction form
    31,699.16/47,533.35 = 15,897.41/x
  3. Step 3: Cross multiply
    31,699.16x = 47,533.35 × 15,897.41
  4. Step 4: Simplify right side
    31,699.16x = 755,657,153.62
  5. Step 5: Solve for x
    x = 755,657,153.62/31,699.16
  6. Step 6: Final answer
    x = 23,838.40

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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.