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Finding the Fourth Proportional to 77,881.50, 107,476.47 and 44,353.98

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Solution

The fourth proportional to 77,881.50, 107,476.47 and 44,353.98 is: 61,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.50 : 107,476.47 = 44,353.98 : x
  2. Step 2: Convert to fraction form
    77,881.50/107,476.47 = 44,353.98/x
  3. Step 3: Cross multiply
    77,881.50x = 107,476.47 × 44,353.98
  4. Step 4: Simplify right side
    77,881.50x = 4,767,009,200.85
  5. Step 5: Solve for x
    x = 4,767,009,200.85/77,881.50
  6. Step 6: Final answer
    x = 61,208.49

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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.