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Finding the Fourth Proportional to 72,538.02, 108,783.99 and 23,278.50

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Solution

The fourth proportional to 72,538.02, 108,783.99 and 23,278.50 is: 34,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.02 : 108,783.99 = 23,278.50 : x
  2. Step 2: Convert to fraction form
    72,538.02/108,783.99 = 23,278.50/x
  3. Step 3: Cross multiply
    72,538.02x = 108,783.99 × 23,278.50
  4. Step 4: Simplify right side
    72,538.02x = 2,532,328,111.22
  5. Step 5: Solve for x
    x = 2,532,328,111.22/72,538.02
  6. Step 6: Final answer
    x = 34,910.36

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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.