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Finding the Fourth Proportional to 42,402.78, 63,816.84 and 31,927.05

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Solution

The fourth proportional to 42,402.78, 63,816.84 and 31,927.05 is: 48,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,402.78 : 63,816.84 = 31,927.05 : x
  2. Step 2: Convert to fraction form
    42,402.78/63,816.84 = 31,927.05/x
  3. Step 3: Cross multiply
    42,402.78x = 63,816.84 × 31,927.05
  4. Step 4: Simplify right side
    42,402.78x = 2,037,483,441.52
  5. Step 5: Solve for x
    x = 2,037,483,441.52/42,402.78
  6. Step 6: Final answer
    x = 48,050.70

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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.