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Finding the Fourth Proportional to 98,213.51, 147,320.17 and 31,663.51

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Solution

The fourth proportional to 98,213.51, 147,320.17 and 31,663.51 is: 47,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,213.51 : 147,320.17 = 31,663.51 : x
  2. Step 2: Convert to fraction form
    98,213.51/147,320.17 = 31,663.51/x
  3. Step 3: Cross multiply
    98,213.51x = 147,320.17 × 31,663.51
  4. Step 4: Simplify right side
    98,213.51x = 4,664,673,228.54
  5. Step 5: Solve for x
    x = 4,664,673,228.54/98,213.51
  6. Step 6: Final answer
    x = 47,495.23

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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.