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Finding the Fourth Proportional to 32,064.48, 48,097.54 and 15,193.53

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Solution

The fourth proportional to 32,064.48, 48,097.54 and 15,193.53 is: 22,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.48 : 48,097.54 = 15,193.53 : x
  2. Step 2: Convert to fraction form
    32,064.48/48,097.54 = 15,193.53/x
  3. Step 3: Cross multiply
    32,064.48x = 48,097.54 × 15,193.53
  4. Step 4: Simplify right side
    32,064.48x = 730,771,416.92
  5. Step 5: Solve for x
    x = 730,771,416.92/32,064.48
  6. Step 6: Final answer
    x = 22,790.68

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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.