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Finding the Fourth Proportional to 86,569.80, 129,854.70 and 53,181.60

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Solution

The fourth proportional to 86,569.80, 129,854.70 and 53,181.60 is: 79,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569.80 : 129,854.70 = 53,181.60 : x
  2. Step 2: Convert to fraction form
    86,569.80/129,854.70 = 53,181.60/x
  3. Step 3: Cross multiply
    86,569.80x = 129,854.70 × 53,181.60
  4. Step 4: Simplify right side
    86,569.80x = 6,905,880,713.52
  5. Step 5: Solve for x
    x = 6,905,880,713.52/86,569.80
  6. Step 6: Final answer
    x = 79,772.40

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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.