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Finding the Fourth Proportional to 42,406.78, 63,822.91 and 31,931.08

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Solution

The fourth proportional to 42,406.78, 63,822.91 and 31,931.08 is: 48,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.78 : 63,822.91 = 31,931.08 : x
  2. Step 2: Convert to fraction form
    42,406.78/63,822.91 = 31,931.08/x
  3. Step 3: Cross multiply
    42,406.78x = 63,822.91 × 31,931.08
  4. Step 4: Simplify right side
    42,406.78x = 2,037,934,445.04
  5. Step 5: Solve for x
    x = 2,037,934,445.04/42,406.78
  6. Step 6: Final answer
    x = 48,056.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.