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Finding the Fourth Proportional to 66,098.16, 91,251 and 50,957.64

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Solution

The fourth proportional to 66,098.16, 91,251 and 50,957.64 is: 70,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098.16 : 91,251 = 50,957.64 : x
  2. Step 2: Convert to fraction form
    66,098.16/91,251 = 50,957.64/x
  3. Step 3: Cross multiply
    66,098.16x = 91,251 × 50,957.64
  4. Step 4: Simplify right side
    66,098.16x = 4,649,935,607.64
  5. Step 5: Solve for x
    x = 4,649,935,607.64/66,098.16
  6. Step 6: Final answer
    x = 70,348.94

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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.