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Finding the Fourth Proportional to 77,973.12, 107,602.74 and 43,981.50

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Solution

The fourth proportional to 77,973.12, 107,602.74 and 43,981.50 is: 60,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973.12 : 107,602.74 = 43,981.50 : x
  2. Step 2: Convert to fraction form
    77,973.12/107,602.74 = 43,981.50/x
  3. Step 3: Cross multiply
    77,973.12x = 107,602.74 × 43,981.50
  4. Step 4: Simplify right side
    77,973.12x = 4,732,529,909.31
  5. Step 5: Solve for x
    x = 4,732,529,909.31/77,973.12
  6. Step 6: Final answer
    x = 60,694.38

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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.