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Finding the Fourth Proportional to 76,113.87, 105,038.85 and 49,303.05

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Solution

The fourth proportional to 76,113.87, 105,038.85 and 49,303.05 is: 68,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113.87 : 105,038.85 = 49,303.05 : x
  2. Step 2: Convert to fraction form
    76,113.87/105,038.85 = 49,303.05/x
  3. Step 3: Cross multiply
    76,113.87x = 105,038.85 × 49,303.05
  4. Step 4: Simplify right side
    76,113.87x = 5,178,735,673.49
  5. Step 5: Solve for x
    x = 5,178,735,673.49/76,113.87
  6. Step 6: Final answer
    x = 68,039.32

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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.