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Finding the Fourth Proportional to 52,813.44, 78,810.68 and 47,205

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Solution

The fourth proportional to 52,813.44, 78,810.68 and 47,205 is: 70,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813.44 : 78,810.68 = 47,205 : x
  2. Step 2: Convert to fraction form
    52,813.44/78,810.68 = 47,205/x
  3. Step 3: Cross multiply
    52,813.44x = 78,810.68 × 47,205
  4. Step 4: Simplify right side
    52,813.44x = 3,720,258,267.41
  5. Step 5: Solve for x
    x = 3,720,258,267.41/52,813.44
  6. Step 6: Final answer
    x = 70,441.51

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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.