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Finding the Fourth Proportional to 76,781.47, 105,961.70 and 42,790

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Solution

The fourth proportional to 76,781.47, 105,961.70 and 42,790 is: 59,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,781.47 : 105,961.70 = 42,790 : x
  2. Step 2: Convert to fraction form
    76,781.47/105,961.70 = 42,790/x
  3. Step 3: Cross multiply
    76,781.47x = 105,961.70 × 42,790
  4. Step 4: Simplify right side
    76,781.47x = 4,534,101,143
  5. Step 5: Solve for x
    x = 4,534,101,143/76,781.47
  6. Step 6: Final answer
    x = 59,052.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.