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Finding the Fourth Proportional to 76,305.48, 105,295.86 and 42,765

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Solution

The fourth proportional to 76,305.48, 105,295.86 and 42,765 is: 59,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.48 : 105,295.86 = 42,765 : x
  2. Step 2: Convert to fraction form
    76,305.48/105,295.86 = 42,765/x
  3. Step 3: Cross multiply
    76,305.48x = 105,295.86 × 42,765
  4. Step 4: Simplify right side
    76,305.48x = 4,502,977,452.90
  5. Step 5: Solve for x
    x = 4,502,977,452.90/76,305.48
  6. Step 6: Final answer
    x = 59,012.50

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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.