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Finding the Fourth Proportional to 105,531.54, 145,633.44 and 57,785.82

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Solution

The fourth proportional to 105,531.54, 145,633.44 and 57,785.82 is: 79,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,531.54 : 145,633.44 = 57,785.82 : x
  2. Step 2: Convert to fraction form
    105,531.54/145,633.44 = 57,785.82/x
  3. Step 3: Cross multiply
    105,531.54x = 145,633.44 × 57,785.82
  4. Step 4: Simplify right side
    105,531.54x = 8,415,547,749.82
  5. Step 5: Solve for x
    x = 8,415,547,749.82/105,531.54
  6. Step 6: Final answer
    x = 79,744.38

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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.