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Finding the Fourth Proportional to 58,285.20, 80,431.28 and 34,419.52

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Solution

The fourth proportional to 58,285.20, 80,431.28 and 34,419.52 is: 47,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,285.20 : 80,431.28 = 34,419.52 : x
  2. Step 2: Convert to fraction form
    58,285.20/80,431.28 = 34,419.52/x
  3. Step 3: Cross multiply
    58,285.20x = 80,431.28 × 34,419.52
  4. Step 4: Simplify right side
    58,285.20x = 2,768,406,050.59
  5. Step 5: Solve for x
    x = 2,768,406,050.59/58,285.20
  6. Step 6: Final answer
    x = 47,497.58

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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.