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Finding the Fourth Proportional to 42,781.50, 64,144.98 and 17,838.90

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Solution

The fourth proportional to 42,781.50, 64,144.98 and 17,838.90 is: 26,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781.50 : 64,144.98 = 17,838.90 : x
  2. Step 2: Convert to fraction form
    42,781.50/64,144.98 = 17,838.90/x
  3. Step 3: Cross multiply
    42,781.50x = 64,144.98 × 17,838.90
  4. Step 4: Simplify right side
    42,781.50x = 1,144,275,883.72
  5. Step 5: Solve for x
    x = 1,144,275,883.72/42,781.50
  6. Step 6: Final answer
    x = 26,746.98

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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.