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Finding the Fourth Proportional to 61,826.38, 85,312.65 and 34,601.74

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Solution

The fourth proportional to 61,826.38, 85,312.65 and 34,601.74 is: 47,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,826.38 : 85,312.65 = 34,601.74 : x
  2. Step 2: Convert to fraction form
    61,826.38/85,312.65 = 34,601.74/x
  3. Step 3: Cross multiply
    61,826.38x = 85,312.65 × 34,601.74
  4. Step 4: Simplify right side
    61,826.38x = 2,951,966,134.01
  5. Step 5: Solve for x
    x = 2,951,966,134.01/61,826.38
  6. Step 6: Final answer
    x = 47,746.06

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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.