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Finding the Fourth Proportional to 65,177.80, 97,766.70 and 52,055.80

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Solution

The fourth proportional to 65,177.80, 97,766.70 and 52,055.80 is: 78,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.80 : 97,766.70 = 52,055.80 : x
  2. Step 2: Convert to fraction form
    65,177.80/97,766.70 = 52,055.80/x
  3. Step 3: Cross multiply
    65,177.80x = 97,766.70 × 52,055.80
  4. Step 4: Simplify right side
    65,177.80x = 5,089,323,781.86
  5. Step 5: Solve for x
    x = 5,089,323,781.86/65,177.80
  6. Step 6: Final answer
    x = 78,083.70

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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.