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Finding the Fourth Proportional to 32,473.32, 48,717.16 and 9,984.12

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Solution

The fourth proportional to 32,473.32, 48,717.16 and 9,984.12 is: 14,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.32 : 48,717.16 = 9,984.12 : x
  2. Step 2: Convert to fraction form
    32,473.32/48,717.16 = 9,984.12/x
  3. Step 3: Cross multiply
    32,473.32x = 48,717.16 × 9,984.12
  4. Step 4: Simplify right side
    32,473.32x = 486,397,971.50
  5. Step 5: Solve for x
    x = 486,397,971.50/32,473.32
  6. Step 6: Final answer
    x = 14,978.39

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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.