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Finding the Fourth Proportional to 98,605, 147,907.50 and 32,941

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Solution

The fourth proportional to 98,605, 147,907.50 and 32,941 is: 49,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605 : 147,907.50 = 32,941 : x
  2. Step 2: Convert to fraction form
    98,605/147,907.50 = 32,941/x
  3. Step 3: Cross multiply
    98,605x = 147,907.50 × 32,941
  4. Step 4: Simplify right side
    98,605x = 4,872,220,957.50
  5. Step 5: Solve for x
    x = 4,872,220,957.50/98,605
  6. Step 6: Final answer
    x = 49,411.50

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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.