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Finding the Fourth Proportional to 77,249.19, 115,838.10 and 35,127.57

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Solution

The fourth proportional to 77,249.19, 115,838.10 and 35,127.57 is: 52,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.19 : 115,838.10 = 35,127.57 : x
  2. Step 2: Convert to fraction form
    77,249.19/115,838.10 = 35,127.57/x
  3. Step 3: Cross multiply
    77,249.19x = 115,838.10 × 35,127.57
  4. Step 4: Simplify right side
    77,249.19x = 4,069,111,400.81
  5. Step 5: Solve for x
    x = 4,069,111,400.81/77,249.19
  6. Step 6: Final answer
    x = 52,675.13

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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.