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Finding the Fourth Proportional to 110,618.86, 165,928.47 and 47,398.00

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Solution

The fourth proportional to 110,618.86, 165,928.47 and 47,398.00 is: 71,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,618.86 : 165,928.47 = 47,398.00 : x
  2. Step 2: Convert to fraction form
    110,618.86/165,928.47 = 47,398.00/x
  3. Step 3: Cross multiply
    110,618.86x = 165,928.47 × 47,398.00
  4. Step 4: Simplify right side
    110,618.86x = 7,864,678,206.21
  5. Step 5: Solve for x
    x = 7,864,678,206.21/110,618.86
  6. Step 6: Final answer
    x = 71,097.08

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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.