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Finding the Fourth Proportional to 25,871.92, 38,632.49 and 20,547.16

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Solution

The fourth proportional to 25,871.92, 38,632.49 and 20,547.16 is: 30,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.92 : 38,632.49 = 20,547.16 : x
  2. Step 2: Convert to fraction form
    25,871.92/38,632.49 = 20,547.16/x
  3. Step 3: Cross multiply
    25,871.92x = 38,632.49 × 20,547.16
  4. Step 4: Simplify right side
    25,871.92x = 793,787,953.23
  5. Step 5: Solve for x
    x = 793,787,953.23/25,871.92
  6. Step 6: Final answer
    x = 30,681.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.