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Finding the Fourth Proportional to 77,611.65, 107,130.30 and 50,424.93

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Solution

The fourth proportional to 77,611.65, 107,130.30 and 50,424.93 is: 69,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,611.65 : 107,130.30 = 50,424.93 : x
  2. Step 2: Convert to fraction form
    77,611.65/107,130.30 = 50,424.93/x
  3. Step 3: Cross multiply
    77,611.65x = 107,130.30 × 50,424.93
  4. Step 4: Simplify right side
    77,611.65x = 5,402,037,878.38
  5. Step 5: Solve for x
    x = 5,402,037,878.38/77,611.65
  6. Step 6: Final answer
    x = 69,603.44

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Why These Related Problems?

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