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Finding the Fourth Proportional to 77,881.94, 107,477.07 and 42,071.95

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Solution

The fourth proportional to 77,881.94, 107,477.07 and 42,071.95 is: 58,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.94 : 107,477.07 = 42,071.95 : x
  2. Step 2: Convert to fraction form
    77,881.94/107,477.07 = 42,071.95/x
  3. Step 3: Cross multiply
    77,881.94x = 107,477.07 × 42,071.95
  4. Step 4: Simplify right side
    77,881.94x = 4,521,769,646.49
  5. Step 5: Solve for x
    x = 4,521,769,646.49/77,881.94
  6. Step 6: Final answer
    x = 58,059.29

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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.