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Finding the Fourth Proportional to 39,653, 59,488.14 and 15,029

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Solution

The fourth proportional to 39,653, 59,488.14 and 15,029 is: 22,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653 : 59,488.14 = 15,029 : x
  2. Step 2: Convert to fraction form
    39,653/59,488.14 = 15,029/x
  3. Step 3: Cross multiply
    39,653x = 59,488.14 × 15,029
  4. Step 4: Simplify right side
    39,653x = 894,047,256.06
  5. Step 5: Solve for x
    x = 894,047,256.06/39,653
  6. Step 6: Final answer
    x = 22,546.77

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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.