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Finding the Fourth Proportional to 27,482.32, 41,214.48 and 9,010

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Solution

The fourth proportional to 27,482.32, 41,214.48 and 9,010 is: 13,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.32 : 41,214.48 = 9,010 : x
  2. Step 2: Convert to fraction form
    27,482.32/41,214.48 = 9,010/x
  3. Step 3: Cross multiply
    27,482.32x = 41,214.48 × 9,010
  4. Step 4: Simplify right side
    27,482.32x = 371,342,464.80
  5. Step 5: Solve for x
    x = 371,342,464.80/27,482.32
  6. Step 6: Final answer
    x = 13,512.05

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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.