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Finding the Fourth Proportional to 76,285.34, 105,277.08 and 42,291.66

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Solution

The fourth proportional to 76,285.34, 105,277.08 and 42,291.66 is: 58,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,285.34 : 105,277.08 = 42,291.66 : x
  2. Step 2: Convert to fraction form
    76,285.34/105,277.08 = 42,291.66/x
  3. Step 3: Cross multiply
    76,285.34x = 105,277.08 × 42,291.66
  4. Step 4: Simplify right side
    76,285.34x = 4,452,342,473.15
  5. Step 5: Solve for x
    x = 4,452,342,473.15/76,285.34
  6. Step 6: Final answer
    x = 58,364.33

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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.