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Finding the Fourth Proportional to 37,352, 56,029.08 and 9,650

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Solution

The fourth proportional to 37,352, 56,029.08 and 9,650 is: 14,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,352 : 56,029.08 = 9,650 : x
  2. Step 2: Convert to fraction form
    37,352/56,029.08 = 9,650/x
  3. Step 3: Cross multiply
    37,352x = 56,029.08 × 9,650
  4. Step 4: Simplify right side
    37,352x = 540,680,622
  5. Step 5: Solve for x
    x = 540,680,622/37,352
  6. Step 6: Final answer
    x = 14,475.28

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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.