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Finding the Fourth Proportional to 104,966.76, 157,472.60 and 38,406.64

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Solution

The fourth proportional to 104,966.76, 157,472.60 and 38,406.64 is: 57,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,966.76 : 157,472.60 = 38,406.64 : x
  2. Step 2: Convert to fraction form
    104,966.76/157,472.60 = 38,406.64/x
  3. Step 3: Cross multiply
    104,966.76x = 157,472.60 × 38,406.64
  4. Step 4: Simplify right side
    104,966.76x = 6,047,993,458.06
  5. Step 5: Solve for x
    x = 6,047,993,458.06/104,966.76
  6. Step 6: Final answer
    x = 57,618.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.