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Finding the Fourth Proportional to 82,219.62, 123,332.88 and 26,058.50

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Solution

The fourth proportional to 82,219.62, 123,332.88 and 26,058.50 is: 39,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.62 : 123,332.88 = 26,058.50 : x
  2. Step 2: Convert to fraction form
    82,219.62/123,332.88 = 26,058.50/x
  3. Step 3: Cross multiply
    82,219.62x = 123,332.88 × 26,058.50
  4. Step 4: Simplify right side
    82,219.62x = 3,213,869,853.48
  5. Step 5: Solve for x
    x = 3,213,869,853.48/82,219.62
  6. Step 6: Final answer
    x = 39,088.84

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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.