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Finding the Fourth Proportional to 107,595.36, 161,402.40 and 28,710

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Solution

The fourth proportional to 107,595.36, 161,402.40 and 28,710 is: 43,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,595.36 : 161,402.40 = 28,710 : x
  2. Step 2: Convert to fraction form
    107,595.36/161,402.40 = 28,710/x
  3. Step 3: Cross multiply
    107,595.36x = 161,402.40 × 28,710
  4. Step 4: Simplify right side
    107,595.36x = 4,633,862,904
  5. Step 5: Solve for x
    x = 4,633,862,904/107,595.36
  6. Step 6: Final answer
    x = 43,067.50

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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.