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Finding the Fourth Proportional to 48,784.41, 67,322.75 and 27,565.65

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Solution

The fourth proportional to 48,784.41, 67,322.75 and 27,565.65 is: 38,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.41 : 67,322.75 = 27,565.65 : x
  2. Step 2: Convert to fraction form
    48,784.41/67,322.75 = 27,565.65/x
  3. Step 3: Cross multiply
    48,784.41x = 67,322.75 × 27,565.65
  4. Step 4: Simplify right side
    48,784.41x = 1,855,795,225.71
  5. Step 5: Solve for x
    x = 1,855,795,225.71/48,784.41
  6. Step 6: Final answer
    x = 38,040.74

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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.