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Finding the Fourth Proportional to 42,902.65, 59,196 and 25,909.66

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Solution

The fourth proportional to 42,902.65, 59,196 and 25,909.66 is: 35,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902.65 : 59,196 = 25,909.66 : x
  2. Step 2: Convert to fraction form
    42,902.65/59,196 = 25,909.66/x
  3. Step 3: Cross multiply
    42,902.65x = 59,196 × 25,909.66
  4. Step 4: Simplify right side
    42,902.65x = 1,533,748,233.36
  5. Step 5: Solve for x
    x = 1,533,748,233.36/42,902.65
  6. Step 6: Final answer
    x = 35,749.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.