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Finding the Fourth Proportional to 32,643.95, 48,966.73 and 10,459.67

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Solution

The fourth proportional to 32,643.95, 48,966.73 and 10,459.67 is: 15,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643.95 : 48,966.73 = 10,459.67 : x
  2. Step 2: Convert to fraction form
    32,643.95/48,966.73 = 10,459.67/x
  3. Step 3: Cross multiply
    32,643.95x = 48,966.73 × 10,459.67
  4. Step 4: Simplify right side
    32,643.95x = 512,175,565.80
  5. Step 5: Solve for x
    x = 512,175,565.80/32,643.95
  6. Step 6: Final answer
    x = 15,689.76

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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.