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Finding the Fourth Proportional to 83,122.64, 114,717.50 and 49,588.64

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Solution

The fourth proportional to 83,122.64, 114,717.50 and 49,588.64 is: 68,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122.64 : 114,717.50 = 49,588.64 : x
  2. Step 2: Convert to fraction form
    83,122.64/114,717.50 = 49,588.64/x
  3. Step 3: Cross multiply
    83,122.64x = 114,717.50 × 49,588.64
  4. Step 4: Simplify right side
    83,122.64x = 5,688,684,809.20
  5. Step 5: Solve for x
    x = 5,688,684,809.20/83,122.64
  6. Step 6: Final answer
    x = 68,437.25

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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.