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Finding the Fourth Proportional to 34,017.60, 51,019.11 and 10,641

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Solution

The fourth proportional to 34,017.60, 51,019.11 and 10,641 is: 15,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017.60 : 51,019.11 = 10,641 : x
  2. Step 2: Convert to fraction form
    34,017.60/51,019.11 = 10,641/x
  3. Step 3: Cross multiply
    34,017.60x = 51,019.11 × 10,641
  4. Step 4: Simplify right side
    34,017.60x = 542,894,349.51
  5. Step 5: Solve for x
    x = 542,894,349.51/34,017.60
  6. Step 6: Final answer
    x = 15,959.22

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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.