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Finding the Fourth Proportional to 52,503.94, 78,421.24 and 47,498.66

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Solution

The fourth proportional to 52,503.94, 78,421.24 and 47,498.66 is: 70,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.94 : 78,421.24 = 47,498.66 : x
  2. Step 2: Convert to fraction form
    52,503.94/78,421.24 = 47,498.66/x
  3. Step 3: Cross multiply
    52,503.94x = 78,421.24 × 47,498.66
  4. Step 4: Simplify right side
    52,503.94x = 3,724,903,815.54
  5. Step 5: Solve for x
    x = 3,724,903,815.54/52,503.94
  6. Step 6: Final answer
    x = 70,945.22

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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.