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Finding the Fourth Proportional to 48,322.12, 72,482.22 and 27,501

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Solution

The fourth proportional to 48,322.12, 72,482.22 and 27,501 is: 41,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,322.12 : 72,482.22 = 27,501 : x
  2. Step 2: Convert to fraction form
    48,322.12/72,482.22 = 27,501/x
  3. Step 3: Cross multiply
    48,322.12x = 72,482.22 × 27,501
  4. Step 4: Simplify right side
    48,322.12x = 1,993,333,532.22
  5. Step 5: Solve for x
    x = 1,993,333,532.22/48,322.12
  6. Step 6: Final answer
    x = 41,250.95

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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.