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Finding the Fourth Proportional to 34,481, 47,583.78 and 19,577

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Solution

The fourth proportional to 34,481, 47,583.78 and 19,577 is: 27,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,481 : 47,583.78 = 19,577 : x
  2. Step 2: Convert to fraction form
    34,481/47,583.78 = 19,577/x
  3. Step 3: Cross multiply
    34,481x = 47,583.78 × 19,577
  4. Step 4: Simplify right side
    34,481x = 931,547,661.06
  5. Step 5: Solve for x
    x = 931,547,661.06/34,481
  6. Step 6: Final answer
    x = 27,016.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.