Home / 106,547.34-159,765.38-31,657.18

Finding the Fourth Proportional to 106,547.34, 159,765.38 and 31,657.18

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Solution

The fourth proportional to 106,547.34, 159,765.38 and 31,657.18 is: 47,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547.34 : 159,765.38 = 31,657.18 : x
  2. Step 2: Convert to fraction form
    106,547.34/159,765.38 = 31,657.18/x
  3. Step 3: Cross multiply
    106,547.34x = 159,765.38 × 31,657.18
  4. Step 4: Simplify right side
    106,547.34x = 5,057,721,392.43
  5. Step 5: Solve for x
    x = 5,057,721,392.43/106,547.34
  6. Step 6: Final answer
    x = 47,469.24

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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.