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Finding the Fourth Proportional to 97,862.60, 135,048.20 and 57,024.20

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Solution

The fourth proportional to 97,862.60, 135,048.20 and 57,024.20 is: 78,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.60 : 135,048.20 = 57,024.20 : x
  2. Step 2: Convert to fraction form
    97,862.60/135,048.20 = 57,024.20/x
  3. Step 3: Cross multiply
    97,862.60x = 135,048.20 × 57,024.20
  4. Step 4: Simplify right side
    97,862.60x = 7,701,015,618.94
  5. Step 5: Solve for x
    x = 7,701,015,618.94/97,862.60
  6. Step 6: Final answer
    x = 78,692.12

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1.5x scale

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.