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Finding the Fourth Proportional to 96,002, 132,482.40 and 53,558

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Solution

The fourth proportional to 96,002, 132,482.40 and 53,558 is: 73,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,002 : 132,482.40 = 53,558 : x
  2. Step 2: Convert to fraction form
    96,002/132,482.40 = 53,558/x
  3. Step 3: Cross multiply
    96,002x = 132,482.40 × 53,558
  4. Step 4: Simplify right side
    96,002x = 7,095,492,379.20
  5. Step 5: Solve for x
    x = 7,095,492,379.20/96,002
  6. Step 6: Final answer
    x = 73,909.84

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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.