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Finding the Fourth Proportional to 32,494.92, 48,743.73 and 10,307.76

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Solution

The fourth proportional to 32,494.92, 48,743.73 and 10,307.76 is: 15,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.92 : 48,743.73 = 10,307.76 : x
  2. Step 2: Convert to fraction form
    32,494.92/48,743.73 = 10,307.76/x
  3. Step 3: Cross multiply
    32,494.92x = 48,743.73 × 10,307.76
  4. Step 4: Simplify right side
    32,494.92x = 502,438,670.34
  5. Step 5: Solve for x
    x = 502,438,670.34/32,494.92
  6. Step 6: Final answer
    x = 15,462.07

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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.