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Finding the Fourth Proportional to 83,569.29, 115,333.51 and 47,752.36

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Solution

The fourth proportional to 83,569.29, 115,333.51 and 47,752.36 is: 65,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,569.29 : 115,333.51 = 47,752.36 : x
  2. Step 2: Convert to fraction form
    83,569.29/115,333.51 = 47,752.36/x
  3. Step 3: Cross multiply
    83,569.29x = 115,333.51 × 47,752.36
  4. Step 4: Simplify right side
    83,569.29x = 5,507,447,050.82
  5. Step 5: Solve for x
    x = 5,507,447,050.82/83,569.29
  6. Step 6: Final answer
    x = 65,902.76

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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.