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Finding the Fourth Proportional to 61,000.52, 84,179.88 and 34,143.01

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Solution

The fourth proportional to 61,000.52, 84,179.88 and 34,143.01 is: 47,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,000.52 : 84,179.88 = 34,143.01 : x
  2. Step 2: Convert to fraction form
    61,000.52/84,179.88 = 34,143.01/x
  3. Step 3: Cross multiply
    61,000.52x = 84,179.88 × 34,143.01
  4. Step 4: Simplify right side
    61,000.52x = 2,874,154,274.19
  5. Step 5: Solve for x
    x = 2,874,154,274.19/61,000.52
  6. Step 6: Final answer
    x = 47,116.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.