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Finding the Fourth Proportional to 52,503.25, 78,420.13 and 47,497.91

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Solution

The fourth proportional to 52,503.25, 78,420.13 and 47,497.91 is: 70,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.25 : 78,420.13 = 47,497.91 : x
  2. Step 2: Convert to fraction form
    52,503.25/78,420.13 = 47,497.91/x
  3. Step 3: Cross multiply
    52,503.25x = 78,420.13 × 47,497.91
  4. Step 4: Simplify right side
    52,503.25x = 3,724,792,077.79
  5. Step 5: Solve for x
    x = 3,724,792,077.79/52,503.25
  6. Step 6: Final answer
    x = 70,944.03

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Why These Related Problems?

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