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Finding the Fourth Proportional to 72,822.84, 100,495.54 and 42,613.96

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Solution

The fourth proportional to 72,822.84, 100,495.54 and 42,613.96 is: 58,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,822.84 : 100,495.54 = 42,613.96 : x
  2. Step 2: Convert to fraction form
    72,822.84/100,495.54 = 42,613.96/x
  3. Step 3: Cross multiply
    72,822.84x = 100,495.54 × 42,613.96
  4. Step 4: Simplify right side
    72,822.84x = 4,282,512,921.74
  5. Step 5: Solve for x
    x = 4,282,512,921.74/72,822.84
  6. Step 6: Final answer
    x = 58,807.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.