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Finding the Fourth Proportional to 32,000.52, 48,000.30 and 14,458.08

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Solution

The fourth proportional to 32,000.52, 48,000.30 and 14,458.08 is: 21,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.52 : 48,000.30 = 14,458.08 : x
  2. Step 2: Convert to fraction form
    32,000.52/48,000.30 = 14,458.08/x
  3. Step 3: Cross multiply
    32,000.52x = 48,000.30 × 14,458.08
  4. Step 4: Simplify right side
    32,000.52x = 693,992,177.42
  5. Step 5: Solve for x
    x = 693,992,177.42/32,000.52
  6. Step 6: Final answer
    x = 21,686.90

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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.