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Finding the Fourth Proportional to 76,499, 105,578.52 and 42,965

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Solution

The fourth proportional to 76,499, 105,578.52 and 42,965 is: 59,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499 : 105,578.52 = 42,965 : x
  2. Step 2: Convert to fraction form
    76,499/105,578.52 = 42,965/x
  3. Step 3: Cross multiply
    76,499x = 105,578.52 × 42,965
  4. Step 4: Simplify right side
    76,499x = 4,536,181,111.80
  5. Step 5: Solve for x
    x = 4,536,181,111.80/76,499
  6. Step 6: Final answer
    x = 59,297.26

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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.