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Finding the Fourth Proportional to 62,182.64, 85,807.94 and 34,962.90

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Solution

The fourth proportional to 62,182.64, 85,807.94 and 34,962.90 is: 48,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,182.64 : 85,807.94 = 34,962.90 : x
  2. Step 2: Convert to fraction form
    62,182.64/85,807.94 = 34,962.90/x
  3. Step 3: Cross multiply
    62,182.64x = 85,807.94 × 34,962.90
  4. Step 4: Simplify right side
    62,182.64x = 3,000,094,250.61
  5. Step 5: Solve for x
    x = 3,000,094,250.61/62,182.64
  6. Step 6: Final answer
    x = 48,246.50

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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.