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Finding the Fourth Proportional to 27,707.13, 38,235.11 and 25,478.01

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Solution

The fourth proportional to 27,707.13, 38,235.11 and 25,478.01 is: 35,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.13 : 38,235.11 = 25,478.01 : x
  2. Step 2: Convert to fraction form
    27,707.13/38,235.11 = 25,478.01/x
  3. Step 3: Cross multiply
    27,707.13x = 38,235.11 × 25,478.01
  4. Step 4: Simplify right side
    27,707.13x = 974,154,387.54
  5. Step 5: Solve for x
    x = 974,154,387.54/27,707.13
  6. Step 6: Final answer
    x = 35,158.98

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Why These Related Problems?

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