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Finding the Fourth Proportional to 98,594.92, 147,950.94 and 36,309.16

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Solution

The fourth proportional to 98,594.92, 147,950.94 and 36,309.16 is: 54,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,594.92 : 147,950.94 = 36,309.16 : x
  2. Step 2: Convert to fraction form
    98,594.92/147,950.94 = 36,309.16/x
  3. Step 3: Cross multiply
    98,594.92x = 147,950.94 × 36,309.16
  4. Step 4: Simplify right side
    98,594.92x = 5,371,974,352.61
  5. Step 5: Solve for x
    x = 5,371,974,352.61/98,594.92
  6. Step 6: Final answer
    x = 54,485.31

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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.