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Finding the Fourth Proportional to 34,474.68, 47,582.64 and 21,897

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Solution

The fourth proportional to 34,474.68, 47,582.64 and 21,897 is: 30,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.68 : 47,582.64 = 21,897 : x
  2. Step 2: Convert to fraction form
    34,474.68/47,582.64 = 21,897/x
  3. Step 3: Cross multiply
    34,474.68x = 47,582.64 × 21,897
  4. Step 4: Simplify right side
    34,474.68x = 1,041,917,068.08
  5. Step 5: Solve for x
    x = 1,041,917,068.08/34,474.68
  6. Step 6: Final answer
    x = 30,222.68

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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.