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Finding the Fourth Proportional to 78,592.94, 108,459.39 and 42,784.07

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Solution

The fourth proportional to 78,592.94, 108,459.39 and 42,784.07 is: 59,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592.94 : 108,459.39 = 42,784.07 : x
  2. Step 2: Convert to fraction form
    78,592.94/108,459.39 = 42,784.07/x
  3. Step 3: Cross multiply
    78,592.94x = 108,459.39 × 42,784.07
  4. Step 4: Simplify right side
    78,592.94x = 4,640,334,133.92
  5. Step 5: Solve for x
    x = 4,640,334,133.92/78,592.94
  6. Step 6: Final answer
    x = 59,042.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.