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Finding the Fourth Proportional to 52,111.68, 78,174 and 17,041.92

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Solution

The fourth proportional to 52,111.68, 78,174 and 17,041.92 is: 25,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.68 : 78,174 = 17,041.92 : x
  2. Step 2: Convert to fraction form
    52,111.68/78,174 = 17,041.92/x
  3. Step 3: Cross multiply
    52,111.68x = 78,174 × 17,041.92
  4. Step 4: Simplify right side
    52,111.68x = 1,332,235,054.08
  5. Step 5: Solve for x
    x = 1,332,235,054.08/52,111.68
  6. Step 6: Final answer
    x = 25,565.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.