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Finding the Fourth Proportional to 40,838.92, 61,242.51 and 15,875.66

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Solution

The fourth proportional to 40,838.92, 61,242.51 and 15,875.66 is: 23,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,838.92 : 61,242.51 = 15,875.66 : x
  2. Step 2: Convert to fraction form
    40,838.92/61,242.51 = 15,875.66/x
  3. Step 3: Cross multiply
    40,838.92x = 61,242.51 × 15,875.66
  4. Step 4: Simplify right side
    40,838.92x = 972,265,266.31
  5. Step 5: Solve for x
    x = 972,265,266.31/40,838.92
  6. Step 6: Final answer
    x = 23,807.32

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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.