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Finding the Fourth Proportional to 76,476.48, 105,534.12 and 42,487.26

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Solution

The fourth proportional to 76,476.48, 105,534.12 and 42,487.26 is: 58,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.48 : 105,534.12 = 42,487.26 : x
  2. Step 2: Convert to fraction form
    76,476.48/105,534.12 = 42,487.26/x
  3. Step 3: Cross multiply
    76,476.48x = 105,534.12 × 42,487.26
  4. Step 4: Simplify right side
    76,476.48x = 4,483,855,595.31
  5. Step 5: Solve for x
    x = 4,483,855,595.31/76,476.48
  6. Step 6: Final answer
    x = 58,630.52

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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.