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Finding the Fourth Proportional to 102,603.17, 153,928.46 and 32,482.49

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Solution

The fourth proportional to 102,603.17, 153,928.46 and 32,482.49 is: 48,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,603.17 : 153,928.46 = 32,482.49 : x
  2. Step 2: Convert to fraction form
    102,603.17/153,928.46 = 32,482.49/x
  3. Step 3: Cross multiply
    102,603.17x = 153,928.46 × 32,482.49
  4. Step 4: Simplify right side
    102,603.17x = 4,999,978,974.23
  5. Step 5: Solve for x
    x = 4,999,978,974.23/102,603.17
  6. Step 6: Final answer
    x = 48,731.23

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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.