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Finding the Fourth Proportional to 97,106.16, 145,659.24 and 55,524

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Solution

The fourth proportional to 97,106.16, 145,659.24 and 55,524 is: 83,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,106.16 : 145,659.24 = 55,524 : x
  2. Step 2: Convert to fraction form
    97,106.16/145,659.24 = 55,524/x
  3. Step 3: Cross multiply
    97,106.16x = 145,659.24 × 55,524
  4. Step 4: Simplify right side
    97,106.16x = 8,087,583,641.76
  5. Step 5: Solve for x
    x = 8,087,583,641.76/97,106.16
  6. Step 6: Final answer
    x = 83,286.00

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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.