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Finding the Fourth Proportional to 70,346.88, 105,461.10 and 48,105.84

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Solution

The fourth proportional to 70,346.88, 105,461.10 and 48,105.84 is: 72,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,346.88 : 105,461.10 = 48,105.84 : x
  2. Step 2: Convert to fraction form
    70,346.88/105,461.10 = 48,105.84/x
  3. Step 3: Cross multiply
    70,346.88x = 105,461.10 × 48,105.84
  4. Step 4: Simplify right side
    70,346.88x = 5,073,294,802.82
  5. Step 5: Solve for x
    x = 5,073,294,802.82/70,346.88
  6. Step 6: Final answer
    x = 72,118.26

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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.