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Finding the Fourth Proportional to 32,473.67, 48,710.79 and 10,287.15

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Solution

The fourth proportional to 32,473.67, 48,710.79 and 10,287.15 is: 15,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.67 : 48,710.79 = 10,287.15 : x
  2. Step 2: Convert to fraction form
    32,473.67/48,710.79 = 10,287.15/x
  3. Step 3: Cross multiply
    32,473.67x = 48,710.79 × 10,287.15
  4. Step 4: Simplify right side
    32,473.67x = 501,095,203.35
  5. Step 5: Solve for x
    x = 501,095,203.35/32,473.67
  6. Step 6: Final answer
    x = 15,430.82

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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.