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Finding the Fourth Proportional to 77,192.65, 106,530.55 and 43,200.44

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Solution

The fourth proportional to 77,192.65, 106,530.55 and 43,200.44 is: 59,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,192.65 : 106,530.55 = 43,200.44 : x
  2. Step 2: Convert to fraction form
    77,192.65/106,530.55 = 43,200.44/x
  3. Step 3: Cross multiply
    77,192.65x = 106,530.55 × 43,200.44
  4. Step 4: Simplify right side
    77,192.65x = 4,602,166,813.40
  5. Step 5: Solve for x
    x = 4,602,166,813.40/77,192.65
  6. Step 6: Final answer
    x = 59,619.24

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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.