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Finding the Fourth Proportional to 38,082.68, 52,547.84 and 23,925.50

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Solution

The fourth proportional to 38,082.68, 52,547.84 and 23,925.50 is: 33,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.68 : 52,547.84 = 23,925.50 : x
  2. Step 2: Convert to fraction form
    38,082.68/52,547.84 = 23,925.50/x
  3. Step 3: Cross multiply
    38,082.68x = 52,547.84 × 23,925.50
  4. Step 4: Simplify right side
    38,082.68x = 1,257,233,345.92
  5. Step 5: Solve for x
    x = 1,257,233,345.92/38,082.68
  6. Step 6: Final answer
    x = 33,013.26

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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.