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Finding the Fourth Proportional to 73,206.84, 101,024.52 and 42,987

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Solution

The fourth proportional to 73,206.84, 101,024.52 and 42,987 is: 59,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206.84 : 101,024.52 = 42,987 : x
  2. Step 2: Convert to fraction form
    73,206.84/101,024.52 = 42,987/x
  3. Step 3: Cross multiply
    73,206.84x = 101,024.52 × 42,987
  4. Step 4: Simplify right side
    73,206.84x = 4,342,741,041.24
  5. Step 5: Solve for x
    x = 4,342,741,041.24/73,206.84
  6. Step 6: Final answer
    x = 59,321.52

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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.