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Finding the Fourth Proportional to 99,026.94, 148,481.10 and 31,529.82

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Solution

The fourth proportional to 99,026.94, 148,481.10 and 31,529.82 is: 47,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,026.94 : 148,481.10 = 31,529.82 : x
  2. Step 2: Convert to fraction form
    99,026.94/148,481.10 = 31,529.82/x
  3. Step 3: Cross multiply
    99,026.94x = 148,481.10 × 31,529.82
  4. Step 4: Simplify right side
    99,026.94x = 4,681,582,356.40
  5. Step 5: Solve for x
    x = 4,681,582,356.40/99,026.94
  6. Step 6: Final answer
    x = 47,275.85

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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.