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Finding the Fourth Proportional to 98,024.66, 147,044.02 and 41,041.22

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Solution

The fourth proportional to 98,024.66, 147,044.02 and 41,041.22 is: 61,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,024.66 : 147,044.02 = 41,041.22 : x
  2. Step 2: Convert to fraction form
    98,024.66/147,044.02 = 41,041.22/x
  3. Step 3: Cross multiply
    98,024.66x = 147,044.02 × 41,041.22
  4. Step 4: Simplify right side
    98,024.66x = 6,034,865,974.50
  5. Step 5: Solve for x
    x = 6,034,865,974.50/98,024.66
  6. Step 6: Final answer
    x = 61,564.77

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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.