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Finding the Fourth Proportional to 98,590.65, 147,910.93 and 27,513.28

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Solution

The fourth proportional to 98,590.65, 147,910.93 and 27,513.28 is: 41,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,590.65 : 147,910.93 = 27,513.28 : x
  2. Step 2: Convert to fraction form
    98,590.65/147,910.93 = 27,513.28/x
  3. Step 3: Cross multiply
    98,590.65x = 147,910.93 × 27,513.28
  4. Step 4: Simplify right side
    98,590.65x = 4,069,515,225.59
  5. Step 5: Solve for x
    x = 4,069,515,225.59/98,590.65
  6. Step 6: Final answer
    x = 41,276.89

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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.