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Finding the Fourth Proportional to 32,480.04, 48,701.45 and 9,984.87

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Solution

The fourth proportional to 32,480.04, 48,701.45 and 9,984.87 is: 14,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.04 : 48,701.45 = 9,984.87 : x
  2. Step 2: Convert to fraction form
    32,480.04/48,701.45 = 9,984.87/x
  3. Step 3: Cross multiply
    32,480.04x = 48,701.45 × 9,984.87
  4. Step 4: Simplify right side
    32,480.04x = 486,277,672.02
  5. Step 5: Solve for x
    x = 486,277,672.02/32,480.04
  6. Step 6: Final answer
    x = 14,971.58

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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.