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Finding the Fourth Proportional to 32,308.65, 48,443.13 and 12,564.18

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Solution

The fourth proportional to 32,308.65, 48,443.13 and 12,564.18 is: 18,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.65 : 48,443.13 = 12,564.18 : x
  2. Step 2: Convert to fraction form
    32,308.65/48,443.13 = 12,564.18/x
  3. Step 3: Cross multiply
    32,308.65x = 48,443.13 × 12,564.18
  4. Step 4: Simplify right side
    32,308.65x = 608,648,205.08
  5. Step 5: Solve for x
    x = 608,648,205.08/32,308.65
  6. Step 6: Final answer
    x = 18,838.55

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