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Finding the Fourth Proportional to 110,547.84, 165,856.80 and 39,468.93

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Solution

The fourth proportional to 110,547.84, 165,856.80 and 39,468.93 is: 59,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,547.84 : 165,856.80 = 39,468.93 : x
  2. Step 2: Convert to fraction form
    110,547.84/165,856.80 = 39,468.93/x
  3. Step 3: Cross multiply
    110,547.84x = 165,856.80 × 39,468.93
  4. Step 4: Simplify right side
    110,547.84x = 6,546,189,955.27
  5. Step 5: Solve for x
    x = 6,546,189,955.27/110,547.84
  6. Step 6: Final answer
    x = 59,215.90

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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.