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Finding the Fourth Proportional to 107,382.47, 161,009.90 and 40,827.47

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Solution

The fourth proportional to 107,382.47, 161,009.90 and 40,827.47 is: 61,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,382.47 : 161,009.90 = 40,827.47 : x
  2. Step 2: Convert to fraction form
    107,382.47/161,009.90 = 40,827.47/x
  3. Step 3: Cross multiply
    107,382.47x = 161,009.90 × 40,827.47
  4. Step 4: Simplify right side
    107,382.47x = 6,573,626,657.82
  5. Step 5: Solve for x
    x = 6,573,626,657.82/107,382.47
  6. Step 6: Final answer
    x = 61,216.94

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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.