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Finding the Fourth Proportional to 107,823.40, 161,735.10 and 48,687.40

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Solution

The fourth proportional to 107,823.40, 161,735.10 and 48,687.40 is: 73,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823.40 : 161,735.10 = 48,687.40 : x
  2. Step 2: Convert to fraction form
    107,823.40/161,735.10 = 48,687.40/x
  3. Step 3: Cross multiply
    107,823.40x = 161,735.10 × 48,687.40
  4. Step 4: Simplify right side
    107,823.40x = 7,874,461,507.74
  5. Step 5: Solve for x
    x = 7,874,461,507.74/107,823.40
  6. Step 6: Final answer
    x = 73,031.10

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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.