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Finding the Fourth Proportional to 83,097.54, 114,678.84 and 47,292.66

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Solution

The fourth proportional to 83,097.54, 114,678.84 and 47,292.66 is: 65,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,097.54 : 114,678.84 = 47,292.66 : x
  2. Step 2: Convert to fraction form
    83,097.54/114,678.84 = 47,292.66/x
  3. Step 3: Cross multiply
    83,097.54x = 114,678.84 × 47,292.66
  4. Step 4: Simplify right side
    83,097.54x = 5,423,467,389.31
  5. Step 5: Solve for x
    x = 5,423,467,389.31/83,097.54
  6. Step 6: Final answer
    x = 65,266.28

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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.