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Finding the Fourth Proportional to 99,065.41, 148,602.83 and 31,604.61

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Solution

The fourth proportional to 99,065.41, 148,602.83 and 31,604.61 is: 47,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,065.41 : 148,602.83 = 31,604.61 : x
  2. Step 2: Convert to fraction form
    99,065.41/148,602.83 = 31,604.61/x
  3. Step 3: Cross multiply
    99,065.41x = 148,602.83 × 31,604.61
  4. Step 4: Simplify right side
    99,065.41x = 4,696,534,975.17
  5. Step 5: Solve for x
    x = 4,696,534,975.17/99,065.41
  6. Step 6: Final answer
    x = 47,408.42

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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.