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Finding the Fourth Proportional to 123,482.84, 185,225.18 and 34,745.32

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Solution

The fourth proportional to 123,482.84, 185,225.18 and 34,745.32 is: 52,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,482.84 : 185,225.18 = 34,745.32 : x
  2. Step 2: Convert to fraction form
    123,482.84/185,225.18 = 34,745.32/x
  3. Step 3: Cross multiply
    123,482.84x = 185,225.18 × 34,745.32
  4. Step 4: Simplify right side
    123,482.84x = 6,435,708,151.16
  5. Step 5: Solve for x
    x = 6,435,708,151.16/123,482.84
  6. Step 6: Final answer
    x = 52,118.24

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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.