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Finding the Fourth Proportional to 83,158.69, 114,758.99 and 45,432.94

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Solution

The fourth proportional to 83,158.69, 114,758.99 and 45,432.94 is: 62,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158.69 : 114,758.99 = 45,432.94 : x
  2. Step 2: Convert to fraction form
    83,158.69/114,758.99 = 45,432.94/x
  3. Step 3: Cross multiply
    83,158.69x = 114,758.99 × 45,432.94
  4. Step 4: Simplify right side
    83,158.69x = 5,213,837,963.44
  5. Step 5: Solve for x
    x = 5,213,837,963.44/83,158.69
  6. Step 6: Final answer
    x = 62,697.45

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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.