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Finding the Fourth Proportional to 53,294.40, 79,952.94 and 15,854.58

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Solution

The fourth proportional to 53,294.40, 79,952.94 and 15,854.58 is: 23,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294.40 : 79,952.94 = 15,854.58 : x
  2. Step 2: Convert to fraction form
    53,294.40/79,952.94 = 15,854.58/x
  3. Step 3: Cross multiply
    53,294.40x = 79,952.94 × 15,854.58
  4. Step 4: Simplify right side
    53,294.40x = 1,267,620,283.47
  5. Step 5: Solve for x
    x = 1,267,620,283.47/53,294.40
  6. Step 6: Final answer
    x = 23,785.24

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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.