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Finding the Fourth Proportional to 34,291.60, 51,428.40 and 14,560

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Solution

The fourth proportional to 34,291.60, 51,428.40 and 14,560 is: 21,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.60 : 51,428.40 = 14,560 : x
  2. Step 2: Convert to fraction form
    34,291.60/51,428.40 = 14,560/x
  3. Step 3: Cross multiply
    34,291.60x = 51,428.40 × 14,560
  4. Step 4: Simplify right side
    34,291.60x = 748,797,504
  5. Step 5: Solve for x
    x = 748,797,504/34,291.60
  6. Step 6: Final answer
    x = 21,836.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.