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Finding the Fourth Proportional to 110,417.76, 165,632.16 and 31,543.68

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Solution

The fourth proportional to 110,417.76, 165,632.16 and 31,543.68 is: 47,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,417.76 : 165,632.16 = 31,543.68 : x
  2. Step 2: Convert to fraction form
    110,417.76/165,632.16 = 31,543.68/x
  3. Step 3: Cross multiply
    110,417.76x = 165,632.16 × 31,543.68
  4. Step 4: Simplify right side
    110,417.76x = 5,224,647,852.75
  5. Step 5: Solve for x
    x = 5,224,647,852.75/110,417.76
  6. Step 6: Final answer
    x = 47,317.10

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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.