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Finding the Fourth Proportional to 70,416, 105,633.36 and 32,970.96

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Solution

The fourth proportional to 70,416, 105,633.36 and 32,970.96 is: 49,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 105,633.36 = 32,970.96 : x
  2. Step 2: Convert to fraction form
    70,416/105,633.36 = 32,970.96/x
  3. Step 3: Cross multiply
    70,416x = 105,633.36 × 32,970.96
  4. Step 4: Simplify right side
    70,416x = 3,482,833,287.23
  5. Step 5: Solve for x
    x = 3,482,833,287.23/70,416
  6. Step 6: Final answer
    x = 49,460.82

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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.