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Finding the Fourth Proportional to 99,696.24, 137,580.12 and 54,984.24

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Solution

The fourth proportional to 99,696.24, 137,580.12 and 54,984.24 is: 75,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696.24 : 137,580.12 = 54,984.24 : x
  2. Step 2: Convert to fraction form
    99,696.24/137,580.12 = 54,984.24/x
  3. Step 3: Cross multiply
    99,696.24x = 137,580.12 × 54,984.24
  4. Step 4: Simplify right side
    99,696.24x = 7,564,738,337.31
  5. Step 5: Solve for x
    x = 7,564,738,337.31/99,696.24
  6. Step 6: Final answer
    x = 75,877.87

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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.