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Finding the Fourth Proportional to 34,405.74, 47,490 and 22,470.93

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Solution

The fourth proportional to 34,405.74, 47,490 and 22,470.93 is: 31,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,405.74 : 47,490 = 22,470.93 : x
  2. Step 2: Convert to fraction form
    34,405.74/47,490 = 22,470.93/x
  3. Step 3: Cross multiply
    34,405.74x = 47,490 × 22,470.93
  4. Step 4: Simplify right side
    34,405.74x = 1,067,144,465.70
  5. Step 5: Solve for x
    x = 1,067,144,465.70/34,405.74
  6. Step 6: Final answer
    x = 31,016.47

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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.