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Finding the Fourth Proportional to 32,497.46, 48,713.90 and 22,615.98

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Solution

The fourth proportional to 32,497.46, 48,713.90 and 22,615.98 is: 33,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.46 : 48,713.90 = 22,615.98 : x
  2. Step 2: Convert to fraction form
    32,497.46/48,713.90 = 22,615.98/x
  3. Step 3: Cross multiply
    32,497.46x = 48,713.90 × 22,615.98
  4. Step 4: Simplify right side
    32,497.46x = 1,101,712,475.04
  5. Step 5: Solve for x
    x = 1,101,712,475.04/32,497.46
  6. Step 6: Final answer
    x = 33,901.49

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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.