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Finding the Fourth Proportional to 107,132.48, 160,672.16 and 43,970.51

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Solution

The fourth proportional to 107,132.48, 160,672.16 and 43,970.51 is: 65,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.48 : 160,672.16 = 43,970.51 : x
  2. Step 2: Convert to fraction form
    107,132.48/160,672.16 = 43,970.51/x
  3. Step 3: Cross multiply
    107,132.48x = 160,672.16 × 43,970.51
  4. Step 4: Simplify right side
    107,132.48x = 7,064,836,598.15
  5. Step 5: Solve for x
    x = 7,064,836,598.15/107,132.48
  6. Step 6: Final answer
    x = 65,944.86

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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.