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Finding the Fourth Proportional to 73,146.88, 109,709.10 and 23,220.46

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Solution

The fourth proportional to 73,146.88, 109,709.10 and 23,220.46 is: 34,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146.88 : 109,709.10 = 23,220.46 : x
  2. Step 2: Convert to fraction form
    73,146.88/109,709.10 = 23,220.46/x
  3. Step 3: Cross multiply
    73,146.88x = 109,709.10 × 23,220.46
  4. Step 4: Simplify right side
    73,146.88x = 2,547,495,768.19
  5. Step 5: Solve for x
    x = 2,547,495,768.19/73,146.88
  6. Step 6: Final answer
    x = 34,827.13

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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.