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Finding the Fourth Proportional to 32,053.60, 48,071.76 and 21,728.80

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Solution

The fourth proportional to 32,053.60, 48,071.76 and 21,728.80 is: 32,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.60 : 48,071.76 = 21,728.80 : x
  2. Step 2: Convert to fraction form
    32,053.60/48,071.76 = 21,728.80/x
  3. Step 3: Cross multiply
    32,053.60x = 48,071.76 × 21,728.80
  4. Step 4: Simplify right side
    32,053.60x = 1,044,541,658.69
  5. Step 5: Solve for x
    x = 1,044,541,658.69/32,053.60
  6. Step 6: Final answer
    x = 32,587.34

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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.