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Finding the Fourth Proportional to 55,155.46, 82,746.15 and 15,713.14

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Solution

The fourth proportional to 55,155.46, 82,746.15 and 15,713.14 is: 23,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,155.46 : 82,746.15 = 15,713.14 : x
  2. Step 2: Convert to fraction form
    55,155.46/82,746.15 = 15,713.14/x
  3. Step 3: Cross multiply
    55,155.46x = 82,746.15 × 15,713.14
  4. Step 4: Simplify right side
    55,155.46x = 1,300,201,839.41
  5. Step 5: Solve for x
    x = 1,300,201,839.41/55,155.46
  6. Step 6: Final answer
    x = 23,573.40

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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.