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Finding the Fourth Proportional to 65,149.60, 97,666.80 and 38,826.40

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Solution

The fourth proportional to 65,149.60, 97,666.80 and 38,826.40 is: 58,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.60 : 97,666.80 = 38,826.40 : x
  2. Step 2: Convert to fraction form
    65,149.60/97,666.80 = 38,826.40/x
  3. Step 3: Cross multiply
    65,149.60x = 97,666.80 × 38,826.40
  4. Step 4: Simplify right side
    65,149.60x = 3,792,050,243.52
  5. Step 5: Solve for x
    x = 3,792,050,243.52/65,149.60
  6. Step 6: Final answer
    x = 58,205.27

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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.