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Finding the Fourth Proportional to 32,005.40, 48,008.10 and 21,507.80

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Solution

The fourth proportional to 32,005.40, 48,008.10 and 21,507.80 is: 32,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.40 : 48,008.10 = 21,507.80 : x
  2. Step 2: Convert to fraction form
    32,005.40/48,008.10 = 21,507.80/x
  3. Step 3: Cross multiply
    32,005.40x = 48,008.10 × 21,507.80
  4. Step 4: Simplify right side
    32,005.40x = 1,032,548,613.18
  5. Step 5: Solve for x
    x = 1,032,548,613.18/32,005.40
  6. Step 6: Final answer
    x = 32,261.70

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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.