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Finding the Fourth Proportional to 72,805.42, 109,237.29 and 22,893.22

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Solution

The fourth proportional to 72,805.42, 109,237.29 and 22,893.22 is: 34,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.42 : 109,237.29 = 22,893.22 : x
  2. Step 2: Convert to fraction form
    72,805.42/109,237.29 = 22,893.22/x
  3. Step 3: Cross multiply
    72,805.42x = 109,237.29 × 22,893.22
  4. Step 4: Simplify right side
    72,805.42x = 2,500,793,312.17
  5. Step 5: Solve for x
    x = 2,500,793,312.17/72,805.42
  6. Step 6: Final answer
    x = 34,349.00

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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.