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Finding the Fourth Proportional to 110,578.16, 165,862.20 and 35,701.76

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Solution

The fourth proportional to 110,578.16, 165,862.20 and 35,701.76 is: 53,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,578.16 : 165,862.20 = 35,701.76 : x
  2. Step 2: Convert to fraction form
    110,578.16/165,862.20 = 35,701.76/x
  3. Step 3: Cross multiply
    110,578.16x = 165,862.20 × 35,701.76
  4. Step 4: Simplify right side
    110,578.16x = 5,921,572,457.47
  5. Step 5: Solve for x
    x = 5,921,572,457.47/110,578.16
  6. Step 6: Final answer
    x = 53,551.01

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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.