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Finding the Fourth Proportional to 52,501.94, 78,418.26 and 47,496.65

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Solution

The fourth proportional to 52,501.94, 78,418.26 and 47,496.65 is: 70,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501.94 : 78,418.26 = 47,496.65 : x
  2. Step 2: Convert to fraction form
    52,501.94/78,418.26 = 47,496.65/x
  3. Step 3: Cross multiply
    52,501.94x = 78,418.26 × 47,496.65
  4. Step 4: Simplify right side
    52,501.94x = 3,724,604,411.35
  5. Step 5: Solve for x
    x = 3,724,604,411.35/52,501.94
  6. Step 6: Final answer
    x = 70,942.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.