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Finding the Fourth Proportional to 78,056.31, 107,718.03 and 42,246.39

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Solution

The fourth proportional to 78,056.31, 107,718.03 and 42,246.39 is: 58,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,056.31 : 107,718.03 = 42,246.39 : x
  2. Step 2: Convert to fraction form
    78,056.31/107,718.03 = 42,246.39/x
  3. Step 3: Cross multiply
    78,056.31x = 107,718.03 × 42,246.39
  4. Step 4: Simplify right side
    78,056.31x = 4,550,697,905.41
  5. Step 5: Solve for x
    x = 4,550,697,905.41/78,056.31
  6. Step 6: Final answer
    x = 58,300.19

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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.