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Finding the Fourth Proportional to 110,547.54, 165,820.68 and 31,661.79

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Solution

The fourth proportional to 110,547.54, 165,820.68 and 31,661.79 is: 47,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,547.54 : 165,820.68 = 31,661.79 : x
  2. Step 2: Convert to fraction form
    110,547.54/165,820.68 = 31,661.79/x
  3. Step 3: Cross multiply
    110,547.54x = 165,820.68 × 31,661.79
  4. Step 4: Simplify right side
    110,547.54x = 5,250,179,547.82
  5. Step 5: Solve for x
    x = 5,250,179,547.82/110,547.54
  6. Step 6: Final answer
    x = 47,492.50

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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.