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Finding the Fourth Proportional to 58,002.30, 86,830.65 and 34,616.70

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Solution

The fourth proportional to 58,002.30, 86,830.65 and 34,616.70 is: 51,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,002.30 : 86,830.65 = 34,616.70 : x
  2. Step 2: Convert to fraction form
    58,002.30/86,830.65 = 34,616.70/x
  3. Step 3: Cross multiply
    58,002.30x = 86,830.65 × 34,616.70
  4. Step 4: Simplify right side
    58,002.30x = 3,005,790,561.86
  5. Step 5: Solve for x
    x = 3,005,790,561.86/58,002.30
  6. Step 6: Final answer
    x = 51,821.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.