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Finding the Fourth Proportional to 32,338.65, 48,507.99 and 14,548.53

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Solution

The fourth proportional to 32,338.65, 48,507.99 and 14,548.53 is: 21,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.65 : 48,507.99 = 14,548.53 : x
  2. Step 2: Convert to fraction form
    32,338.65/48,507.99 = 14,548.53/x
  3. Step 3: Cross multiply
    32,338.65x = 48,507.99 × 14,548.53
  4. Step 4: Simplify right side
    32,338.65x = 705,719,875.01
  5. Step 5: Solve for x
    x = 705,719,875.01/32,338.65
  6. Step 6: Final answer
    x = 21,822.80

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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.