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Finding the Fourth Proportional to 32,309.17, 48,443.90 and 12,564.71

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Solution

The fourth proportional to 32,309.17, 48,443.90 and 12,564.71 is: 18,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.17 : 48,443.90 = 12,564.71 : x
  2. Step 2: Convert to fraction form
    32,309.17/48,443.90 = 12,564.71/x
  3. Step 3: Cross multiply
    32,309.17x = 48,443.90 × 12,564.71
  4. Step 4: Simplify right side
    32,309.17x = 608,683,343.96
  5. Step 5: Solve for x
    x = 608,683,343.96/32,309.17
  6. Step 6: Final answer
    x = 18,839.34

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1.5x scale

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.