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Finding the Fourth Proportional to 42,735.72, 64,102.88 and 16,446.16

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Solution

The fourth proportional to 42,735.72, 64,102.88 and 16,446.16 is: 24,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735.72 : 64,102.88 = 16,446.16 : x
  2. Step 2: Convert to fraction form
    42,735.72/64,102.88 = 16,446.16/x
  3. Step 3: Cross multiply
    42,735.72x = 64,102.88 × 16,446.16
  4. Step 4: Simplify right side
    42,735.72x = 1,054,246,220.94
  5. Step 5: Solve for x
    x = 1,054,246,220.94/42,735.72
  6. Step 6: Final answer
    x = 24,668.97

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1.5x scale

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.