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Finding the Fourth Proportional to 34,334.61, 51,525 and 12,147.90

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Solution

The fourth proportional to 34,334.61, 51,525 and 12,147.90 is: 18,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334.61 : 51,525 = 12,147.90 : x
  2. Step 2: Convert to fraction form
    34,334.61/51,525 = 12,147.90/x
  3. Step 3: Cross multiply
    34,334.61x = 51,525 × 12,147.90
  4. Step 4: Simplify right side
    34,334.61x = 625,920,547.50
  5. Step 5: Solve for x
    x = 625,920,547.50/34,334.61
  6. Step 6: Final answer
    x = 18,230.02

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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.