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Finding the Fourth Proportional to 32,078.42, 48,113.53 and 13,354.97

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Solution

The fourth proportional to 32,078.42, 48,113.53 and 13,354.97 is: 20,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.42 : 48,113.53 = 13,354.97 : x
  2. Step 2: Convert to fraction form
    32,078.42/48,113.53 = 13,354.97/x
  3. Step 3: Cross multiply
    32,078.42x = 48,113.53 × 13,354.97
  4. Step 4: Simplify right side
    32,078.42x = 642,554,475.79
  5. Step 5: Solve for x
    x = 642,554,475.79/32,078.42
  6. Step 6: Final answer
    x = 20,030.74

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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.