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Finding the Fourth Proportional to 83,888.38, 115,767.95 and 47,592.28

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Solution

The fourth proportional to 83,888.38, 115,767.95 and 47,592.28 is: 65,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.38 : 115,767.95 = 47,592.28 : x
  2. Step 2: Convert to fraction form
    83,888.38/115,767.95 = 47,592.28/x
  3. Step 3: Cross multiply
    83,888.38x = 115,767.95 × 47,592.28
  4. Step 4: Simplify right side
    83,888.38x = 5,509,660,598.17
  5. Step 5: Solve for x
    x = 5,509,660,598.17/83,888.38
  6. Step 6: Final answer
    x = 65,678.47

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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.