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Finding the Fourth Proportional to 70,838.50, 97,748.62 and 40,622.26

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Solution

The fourth proportional to 70,838.50, 97,748.62 and 40,622.26 is: 56,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.50 : 97,748.62 = 40,622.26 : x
  2. Step 2: Convert to fraction form
    70,838.50/97,748.62 = 40,622.26/x
  3. Step 3: Cross multiply
    70,838.50x = 97,748.62 × 40,622.26
  4. Step 4: Simplify right side
    70,838.50x = 3,970,769,856.28
  5. Step 5: Solve for x
    x = 3,970,769,856.28/70,838.50
  6. Step 6: Final answer
    x = 56,053.84

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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.