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Finding the Fourth Proportional to 77,100.68, 115,649.58 and 24,513.32

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Solution

The fourth proportional to 77,100.68, 115,649.58 and 24,513.32 is: 36,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.68 : 115,649.58 = 24,513.32 : x
  2. Step 2: Convert to fraction form
    77,100.68/115,649.58 = 24,513.32/x
  3. Step 3: Cross multiply
    77,100.68x = 115,649.58 × 24,513.32
  4. Step 4: Simplify right side
    77,100.68x = 2,834,955,162.41
  5. Step 5: Solve for x
    x = 2,834,955,162.41/77,100.68
  6. Step 6: Final answer
    x = 36,769.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.