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Finding the Fourth Proportional to 32,466, 48,699.18 and 10,578

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Solution

The fourth proportional to 32,466, 48,699.18 and 10,578 is: 15,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466 : 48,699.18 = 10,578 : x
  2. Step 2: Convert to fraction form
    32,466/48,699.18 = 10,578/x
  3. Step 3: Cross multiply
    32,466x = 48,699.18 × 10,578
  4. Step 4: Simplify right side
    32,466x = 515,139,926.04
  5. Step 5: Solve for x
    x = 515,139,926.04/32,466
  6. Step 6: Final answer
    x = 15,867.06

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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.