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Finding the Fourth Proportional to 105,677.98, 145,842.39 and 57,931.45

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Solution

The fourth proportional to 105,677.98, 145,842.39 and 57,931.45 is: 79,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,677.98 : 145,842.39 = 57,931.45 : x
  2. Step 2: Convert to fraction form
    105,677.98/145,842.39 = 57,931.45/x
  3. Step 3: Cross multiply
    105,677.98x = 145,842.39 × 57,931.45
  4. Step 4: Simplify right side
    105,677.98x = 8,448,861,124.17
  5. Step 5: Solve for x
    x = 8,448,861,124.17/105,677.98
  6. Step 6: Final answer
    x = 79,949.12

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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.