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Finding the Fourth Proportional to 129,033, 193,549.50 and 35,538.75

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Solution

The fourth proportional to 129,033, 193,549.50 and 35,538.75 is: 53,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,033 : 193,549.50 = 35,538.75 : x
  2. Step 2: Convert to fraction form
    129,033/193,549.50 = 35,538.75/x
  3. Step 3: Cross multiply
    129,033x = 193,549.50 × 35,538.75
  4. Step 4: Simplify right side
    129,033x = 6,878,507,293.13
  5. Step 5: Solve for x
    x = 6,878,507,293.13/129,033
  6. Step 6: Final answer
    x = 53,308.13

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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.