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Finding the Fourth Proportional to 97,188.71, 145,802.84 and 41,028.84

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Solution

The fourth proportional to 97,188.71, 145,802.84 and 41,028.84 is: 61,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,188.71 : 145,802.84 = 41,028.84 : x
  2. Step 2: Convert to fraction form
    97,188.71/145,802.84 = 41,028.84/x
  3. Step 3: Cross multiply
    97,188.71x = 145,802.84 × 41,028.84
  4. Step 4: Simplify right side
    97,188.71x = 5,982,121,188.76
  5. Step 5: Solve for x
    x = 5,982,121,188.76/97,188.71
  6. Step 6: Final answer
    x = 61,551.61

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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.