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Finding the Fourth Proportional to 76,013.18, 104,894.07 and 42,019.64

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Solution

The fourth proportional to 76,013.18, 104,894.07 and 42,019.64 is: 57,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,013.18 : 104,894.07 = 42,019.64 : x
  2. Step 2: Convert to fraction form
    76,013.18/104,894.07 = 42,019.64/x
  3. Step 3: Cross multiply
    76,013.18x = 104,894.07 × 42,019.64
  4. Step 4: Simplify right side
    76,013.18x = 4,407,610,535.06
  5. Step 5: Solve for x
    x = 4,407,610,535.06/76,013.18
  6. Step 6: Final answer
    x = 57,984.82

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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.