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Finding the Fourth Proportional to 86,197.96, 129,296.88 and 27,038.20

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Solution

The fourth proportional to 86,197.96, 129,296.88 and 27,038.20 is: 40,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.96 : 129,296.88 = 27,038.20 : x
  2. Step 2: Convert to fraction form
    86,197.96/129,296.88 = 27,038.20/x
  3. Step 3: Cross multiply
    86,197.96x = 129,296.88 × 27,038.20
  4. Step 4: Simplify right side
    86,197.96x = 3,495,954,900.82
  5. Step 5: Solve for x
    x = 3,495,954,900.82/86,197.96
  6. Step 6: Final answer
    x = 40,557.28

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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.