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Finding the Fourth Proportional to 129,033, 193,565.90 and 35,538.75

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Solution

The fourth proportional to 129,033, 193,565.90 and 35,538.75 is: 53,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,033 : 193,565.90 = 35,538.75 : x
  2. Step 2: Convert to fraction form
    129,033/193,565.90 = 35,538.75/x
  3. Step 3: Cross multiply
    129,033x = 193,565.90 × 35,538.75
  4. Step 4: Simplify right side
    129,033x = 6,879,090,217.47
  5. Step 5: Solve for x
    x = 6,879,090,217.47/129,033
  6. Step 6: Final answer
    x = 53,312.64

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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.