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Finding the Fourth Proportional to 97,295.80, 134,268.38 and 52,583.80

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Solution

The fourth proportional to 97,295.80, 134,268.38 and 52,583.80 is: 72,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,295.80 : 134,268.38 = 52,583.80 : x
  2. Step 2: Convert to fraction form
    97,295.80/134,268.38 = 52,583.80/x
  3. Step 3: Cross multiply
    97,295.80x = 134,268.38 × 52,583.80
  4. Step 4: Simplify right side
    97,295.80x = 7,060,341,640.24
  5. Step 5: Solve for x
    x = 7,060,341,640.24/97,295.80
  6. Step 6: Final answer
    x = 72,565.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.