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Finding the Fourth Proportional to 24,613.92, 33,948 and 21,784.32

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Solution

The fourth proportional to 24,613.92, 33,948 and 21,784.32 is: 30,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613.92 : 33,948 = 21,784.32 : x
  2. Step 2: Convert to fraction form
    24,613.92/33,948 = 21,784.32/x
  3. Step 3: Cross multiply
    24,613.92x = 33,948 × 21,784.32
  4. Step 4: Simplify right side
    24,613.92x = 739,534,095.36
  5. Step 5: Solve for x
    x = 739,534,095.36/24,613.92
  6. Step 6: Final answer
    x = 30,045.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.