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Finding the Fourth Proportional to 89,482.64, 123,486.12 and 49,199

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Solution

The fourth proportional to 89,482.64, 123,486.12 and 49,199 is: 67,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,482.64 : 123,486.12 = 49,199 : x
  2. Step 2: Convert to fraction form
    89,482.64/123,486.12 = 49,199/x
  3. Step 3: Cross multiply
    89,482.64x = 123,486.12 × 49,199
  4. Step 4: Simplify right side
    89,482.64x = 6,075,393,617.88
  5. Step 5: Solve for x
    x = 6,075,393,617.88/89,482.64
  6. Step 6: Final answer
    x = 67,894.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.