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Finding the Fourth Proportional to 38,624.76, 53,298 and 24,281.28

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Solution

The fourth proportional to 38,624.76, 53,298 and 24,281.28 is: 33,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624.76 : 53,298 = 24,281.28 : x
  2. Step 2: Convert to fraction form
    38,624.76/53,298 = 24,281.28/x
  3. Step 3: Cross multiply
    38,624.76x = 53,298 × 24,281.28
  4. Step 4: Simplify right side
    38,624.76x = 1,294,143,661.44
  5. Step 5: Solve for x
    x = 1,294,143,661.44/38,624.76
  6. Step 6: Final answer
    x = 33,505.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.