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Finding the Fourth Proportional to 98,603.80, 147,905.70 and 32,046.10

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Solution

The fourth proportional to 98,603.80, 147,905.70 and 32,046.10 is: 48,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,603.80 : 147,905.70 = 32,046.10 : x
  2. Step 2: Convert to fraction form
    98,603.80/147,905.70 = 32,046.10/x
  3. Step 3: Cross multiply
    98,603.80x = 147,905.70 × 32,046.10
  4. Step 4: Simplify right side
    98,603.80x = 4,739,800,852.77
  5. Step 5: Solve for x
    x = 4,739,800,852.77/98,603.80
  6. Step 6: Final answer
    x = 48,069.15

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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.