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Finding the Fourth Proportional to 44,535.24, 61,468.74 and 27,765

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Solution

The fourth proportional to 44,535.24, 61,468.74 and 27,765 is: 38,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,535.24 : 61,468.74 = 27,765 : x
  2. Step 2: Convert to fraction form
    44,535.24/61,468.74 = 27,765/x
  3. Step 3: Cross multiply
    44,535.24x = 61,468.74 × 27,765
  4. Step 4: Simplify right side
    44,535.24x = 1,706,679,566.10
  5. Step 5: Solve for x
    x = 1,706,679,566.10/44,535.24
  6. Step 6: Final answer
    x = 38,322.00

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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.