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Finding the Fourth Proportional to 75,678.16, 104,431.80 and 42,142

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Solution

The fourth proportional to 75,678.16, 104,431.80 and 42,142 is: 58,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.16 : 104,431.80 = 42,142 : x
  2. Step 2: Convert to fraction form
    75,678.16/104,431.80 = 42,142/x
  3. Step 3: Cross multiply
    75,678.16x = 104,431.80 × 42,142
  4. Step 4: Simplify right side
    75,678.16x = 4,400,964,915.60
  5. Step 5: Solve for x
    x = 4,400,964,915.60/75,678.16
  6. Step 6: Final answer
    x = 58,153.70

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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.