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Finding the Fourth Proportional to 68,125, 102,143.22 and 32,567.08

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Solution

The fourth proportional to 68,125, 102,143.22 and 32,567.08 is: 48,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,125 : 102,143.22 = 32,567.08 : x
  2. Step 2: Convert to fraction form
    68,125/102,143.22 = 32,567.08/x
  3. Step 3: Cross multiply
    68,125x = 102,143.22 × 32,567.08
  4. Step 4: Simplify right side
    68,125x = 3,326,506,417.20
  5. Step 5: Solve for x
    x = 3,326,506,417.20/68,125
  6. Step 6: Final answer
    x = 48,829.45

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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.