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Finding the Fourth Proportional to 34,780.24, 48,023.04 and 21,370

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Solution

The fourth proportional to 34,780.24, 48,023.04 and 21,370 is: 29,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.24 : 48,023.04 = 21,370 : x
  2. Step 2: Convert to fraction form
    34,780.24/48,023.04 = 21,370/x
  3. Step 3: Cross multiply
    34,780.24x = 48,023.04 × 21,370
  4. Step 4: Simplify right side
    34,780.24x = 1,026,252,364.80
  5. Step 5: Solve for x
    x = 1,026,252,364.80/34,780.24
  6. Step 6: Final answer
    x = 29,506.76

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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.