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Finding the Fourth Proportional to 75,129.77, 103,678.84 and 41,595.77

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Solution

The fourth proportional to 75,129.77, 103,678.84 and 41,595.77 is: 57,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.77 : 103,678.84 = 41,595.77 : x
  2. Step 2: Convert to fraction form
    75,129.77/103,678.84 = 41,595.77/x
  3. Step 3: Cross multiply
    75,129.77x = 103,678.84 × 41,595.77
  4. Step 4: Simplify right side
    75,129.77x = 4,312,601,182.51
  5. Step 5: Solve for x
    x = 4,312,601,182.51/75,129.77
  6. Step 6: Final answer
    x = 57,402.03

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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.