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Finding the Fourth Proportional to 34,486, 47,590.74 and 19,582

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Solution

The fourth proportional to 34,486, 47,590.74 and 19,582 is: 27,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486 : 47,590.74 = 19,582 : x
  2. Step 2: Convert to fraction form
    34,486/47,590.74 = 19,582/x
  3. Step 3: Cross multiply
    34,486x = 47,590.74 × 19,582
  4. Step 4: Simplify right side
    34,486x = 931,921,870.68
  5. Step 5: Solve for x
    x = 931,921,870.68/34,486
  6. Step 6: Final answer
    x = 27,023.19

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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.