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Finding the Fourth Proportional to 77,053.88, 106,320.80 and 43,051.50

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Solution

The fourth proportional to 77,053.88, 106,320.80 and 43,051.50 is: 59,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,053.88 : 106,320.80 = 43,051.50 : x
  2. Step 2: Convert to fraction form
    77,053.88/106,320.80 = 43,051.50/x
  3. Step 3: Cross multiply
    77,053.88x = 106,320.80 × 43,051.50
  4. Step 4: Simplify right side
    77,053.88x = 4,577,270,028.83
  5. Step 5: Solve for x
    x = 4,577,270,028.83/77,053.88
  6. Step 6: Final answer
    x = 59,403.50

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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.