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Finding the Fourth Proportional to 76,277.63, 105,253.38 and 42,285.80

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Solution

The fourth proportional to 76,277.63, 105,253.38 and 42,285.80 is: 58,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,277.63 : 105,253.38 = 42,285.80 : x
  2. Step 2: Convert to fraction form
    76,277.63/105,253.38 = 42,285.80/x
  3. Step 3: Cross multiply
    76,277.63x = 105,253.38 × 42,285.80
  4. Step 4: Simplify right side
    76,277.63x = 4,450,722,849.74
  5. Step 5: Solve for x
    x = 4,450,722,849.74/76,277.63
  6. Step 6: Final answer
    x = 58,349.00

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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.