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Finding the Fourth Proportional to 42,966.65, 64,441.63 and 21,613.68

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Solution

The fourth proportional to 42,966.65, 64,441.63 and 21,613.68 is: 32,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,966.65 : 64,441.63 = 21,613.68 : x
  2. Step 2: Convert to fraction form
    42,966.65/64,441.63 = 21,613.68/x
  3. Step 3: Cross multiply
    42,966.65x = 64,441.63 × 21,613.68
  4. Step 4: Simplify right side
    42,966.65x = 1,392,820,769.50
  5. Step 5: Solve for x
    x = 1,392,820,769.50/42,966.65
  6. Step 6: Final answer
    x = 32,416.32

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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.