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Finding the Fourth Proportional to 38,210.58, 52,693.95 and 24,584.71

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Solution

The fourth proportional to 38,210.58, 52,693.95 and 24,584.71 is: 33,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,210.58 : 52,693.95 = 24,584.71 : x
  2. Step 2: Convert to fraction form
    38,210.58/52,693.95 = 24,584.71/x
  3. Step 3: Cross multiply
    38,210.58x = 52,693.95 × 24,584.71
  4. Step 4: Simplify right side
    38,210.58x = 1,295,465,545.37
  5. Step 5: Solve for x
    x = 1,295,465,545.37/38,210.58
  6. Step 6: Final answer
    x = 33,903.32

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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.