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Finding the Fourth Proportional to 73,284, 109,920.48 and 23,362.08

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Solution

The fourth proportional to 73,284, 109,920.48 and 23,362.08 is: 35,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284 : 109,920.48 = 23,362.08 : x
  2. Step 2: Convert to fraction form
    73,284/109,920.48 = 23,362.08/x
  3. Step 3: Cross multiply
    73,284x = 109,920.48 × 23,362.08
  4. Step 4: Simplify right side
    73,284x = 2,567,971,047.40
  5. Step 5: Solve for x
    x = 2,567,971,047.40/73,284
  6. Step 6: Final answer
    x = 35,041.36

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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.