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Finding the Fourth Proportional to 76,505.54, 105,575.54 and 42,513.16

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Solution

The fourth proportional to 76,505.54, 105,575.54 and 42,513.16 is: 58,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505.54 : 105,575.54 = 42,513.16 : x
  2. Step 2: Convert to fraction form
    76,505.54/105,575.54 = 42,513.16/x
  3. Step 3: Cross multiply
    76,505.54x = 105,575.54 × 42,513.16
  4. Step 4: Simplify right side
    76,505.54x = 4,488,349,824.11
  5. Step 5: Solve for x
    x = 4,488,349,824.11/76,505.54
  6. Step 6: Final answer
    x = 58,666.99

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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.