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Finding the Fourth Proportional to 32,600.70, 48,966.69 and 31,681.98

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Solution

The fourth proportional to 32,600.70, 48,966.69 and 31,681.98 is: 47,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600.70 : 48,966.69 = 31,681.98 : x
  2. Step 2: Convert to fraction form
    32,600.70/48,966.69 = 31,681.98/x
  3. Step 3: Cross multiply
    32,600.70x = 48,966.69 × 31,681.98
  4. Step 4: Simplify right side
    32,600.70x = 1,551,361,693.25
  5. Step 5: Solve for x
    x = 1,551,361,693.25/32,600.70
  6. Step 6: Final answer
    x = 47,586.76

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Why These Related Problems?

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