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Finding the Fourth Proportional to 32,160.71, 48,294.53 and 21,698.04

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Solution

The fourth proportional to 32,160.71, 48,294.53 and 21,698.04 is: 32,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.71 : 48,294.53 = 21,698.04 : x
  2. Step 2: Convert to fraction form
    32,160.71/48,294.53 = 21,698.04/x
  3. Step 3: Cross multiply
    32,160.71x = 48,294.53 × 21,698.04
  4. Step 4: Simplify right side
    32,160.71x = 1,047,896,797.70
  5. Step 5: Solve for x
    x = 1,047,896,797.70/32,160.71
  6. Step 6: Final answer
    x = 32,583.13

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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.