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Finding the Fourth Proportional to 98,564.33, 147,830.32 and 27,491.79

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Solution

The fourth proportional to 98,564.33, 147,830.32 and 27,491.79 is: 41,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.33 : 147,830.32 = 27,491.79 : x
  2. Step 2: Convert to fraction form
    98,564.33/147,830.32 = 27,491.79/x
  3. Step 3: Cross multiply
    98,564.33x = 147,830.32 × 27,491.79
  4. Step 4: Simplify right side
    98,564.33x = 4,064,119,577.76
  5. Step 5: Solve for x
    x = 4,064,119,577.76/98,564.33
  6. Step 6: Final answer
    x = 41,233.17

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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.