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Finding the Fourth Proportional to 23,077.17, 34,615.75 and 5,547

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Solution

The fourth proportional to 23,077.17, 34,615.75 and 5,547 is: 8,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.17 : 34,615.75 = 5,547 : x
  2. Step 2: Convert to fraction form
    23,077.17/34,615.75 = 5,547/x
  3. Step 3: Cross multiply
    23,077.17x = 34,615.75 × 5,547
  4. Step 4: Simplify right side
    23,077.17x = 192,013,565.25
  5. Step 5: Solve for x
    x = 192,013,565.25/23,077.17
  6. Step 6: Final answer
    x = 8,320.50

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Why These Related Problems?

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