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Finding the Fourth Proportional to 76,101.24, 105,016.01 and 42,109.11

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Solution

The fourth proportional to 76,101.24, 105,016.01 and 42,109.11 is: 58,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101.24 : 105,016.01 = 42,109.11 : x
  2. Step 2: Convert to fraction form
    76,101.24/105,016.01 = 42,109.11/x
  3. Step 3: Cross multiply
    76,101.24x = 105,016.01 × 42,109.11
  4. Step 4: Simplify right side
    76,101.24x = 4,422,130,506.31
  5. Step 5: Solve for x
    x = 4,422,130,506.31/76,101.24
  6. Step 6: Final answer
    x = 58,108.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.