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Finding the Fourth Proportional to 40,642.51, 56,075.86 and 27,899.59

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Solution

The fourth proportional to 40,642.51, 56,075.86 and 27,899.59 is: 38,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642.51 : 56,075.86 = 27,899.59 : x
  2. Step 2: Convert to fraction form
    40,642.51/56,075.86 = 27,899.59/x
  3. Step 3: Cross multiply
    40,642.51x = 56,075.86 × 27,899.59
  4. Step 4: Simplify right side
    40,642.51x = 1,564,493,502.90
  5. Step 5: Solve for x
    x = 1,564,493,502.90/40,642.51
  6. Step 6: Final answer
    x = 38,494.02

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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.