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Finding the Fourth Proportional to 52,078.69, 78,118.14 and 18,822.23

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Solution

The fourth proportional to 52,078.69, 78,118.14 and 18,822.23 is: 28,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.69 : 78,118.14 = 18,822.23 : x
  2. Step 2: Convert to fraction form
    52,078.69/78,118.14 = 18,822.23/x
  3. Step 3: Cross multiply
    52,078.69x = 78,118.14 × 18,822.23
  4. Step 4: Simplify right side
    52,078.69x = 1,470,357,598.25
  5. Step 5: Solve for x
    x = 1,470,357,598.25/52,078.69
  6. Step 6: Final answer
    x = 28,233.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.