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Finding the Fourth Proportional to 25,759, 35,547.42 and 14,581

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Solution

The fourth proportional to 25,759, 35,547.42 and 14,581 is: 20,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759 : 35,547.42 = 14,581 : x
  2. Step 2: Convert to fraction form
    25,759/35,547.42 = 14,581/x
  3. Step 3: Cross multiply
    25,759x = 35,547.42 × 14,581
  4. Step 4: Simplify right side
    25,759x = 518,316,931.02
  5. Step 5: Solve for x
    x = 518,316,931.02/25,759
  6. Step 6: Final answer
    x = 20,121.78

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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.