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Finding the Fourth Proportional to 34,159.71, 47,162.34 and 21,430.34

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Solution

The fourth proportional to 34,159.71, 47,162.34 and 21,430.34 is: 29,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.71 : 47,162.34 = 21,430.34 : x
  2. Step 2: Convert to fraction form
    34,159.71/47,162.34 = 21,430.34/x
  3. Step 3: Cross multiply
    34,159.71x = 47,162.34 × 21,430.34
  4. Step 4: Simplify right side
    34,159.71x = 1,010,704,745.58
  5. Step 5: Solve for x
    x = 1,010,704,745.58/34,159.71
  6. Step 6: Final answer
    x = 29,587.63

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