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Finding the Fourth Proportional to 42,366.16, 63,503.16 and 31,906

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Solution

The fourth proportional to 42,366.16, 63,503.16 and 31,906 is: 47,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,366.16 : 63,503.16 = 31,906 : x
  2. Step 2: Convert to fraction form
    42,366.16/63,503.16 = 31,906/x
  3. Step 3: Cross multiply
    42,366.16x = 63,503.16 × 31,906
  4. Step 4: Simplify right side
    42,366.16x = 2,026,131,822.96
  5. Step 5: Solve for x
    x = 2,026,131,822.96/42,366.16
  6. Step 6: Final answer
    x = 47,824.30

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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.