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Finding the Fourth Proportional to 107,009.76, 147,673.14 and 61,687.48

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Solution

The fourth proportional to 107,009.76, 147,673.14 and 61,687.48 is: 85,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,009.76 : 147,673.14 = 61,687.48 : x
  2. Step 2: Convert to fraction form
    107,009.76/147,673.14 = 61,687.48/x
  3. Step 3: Cross multiply
    107,009.76x = 147,673.14 × 61,687.48
  4. Step 4: Simplify right side
    107,009.76x = 9,109,583,870.29
  5. Step 5: Solve for x
    x = 9,109,583,870.29/107,009.76
  6. Step 6: Final answer
    x = 85,128.53

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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.