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Finding the Fourth Proportional to 32,894.64, 49,523.94 and 22,574.16

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Solution

The fourth proportional to 32,894.64, 49,523.94 and 22,574.16 is: 33,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.64 : 49,523.94 = 22,574.16 : x
  2. Step 2: Convert to fraction form
    32,894.64/49,523.94 = 22,574.16/x
  3. Step 3: Cross multiply
    32,894.64x = 49,523.94 × 22,574.16
  4. Step 4: Simplify right side
    32,894.64x = 1,117,961,345.39
  5. Step 5: Solve for x
    x = 1,117,961,345.39/32,894.64
  6. Step 6: Final answer
    x = 33,986.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.