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Finding the Fourth Proportional to 70,473.14, 105,502.35 and 47,041.46

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Solution

The fourth proportional to 70,473.14, 105,502.35 and 47,041.46 is: 70,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473.14 : 105,502.35 = 47,041.46 : x
  2. Step 2: Convert to fraction form
    70,473.14/105,502.35 = 47,041.46/x
  3. Step 3: Cross multiply
    70,473.14x = 105,502.35 × 47,041.46
  4. Step 4: Simplify right side
    70,473.14x = 4,962,984,577.43
  5. Step 5: Solve for x
    x = 4,962,984,577.43/70,473.14
  6. Step 6: Final answer
    x = 70,423.78

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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.