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Finding the Fourth Proportional to 52,574.92, 72,553.32 and 33,712

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Solution

The fourth proportional to 52,574.92, 72,553.32 and 33,712 is: 46,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,574.92 : 72,553.32 = 33,712 : x
  2. Step 2: Convert to fraction form
    52,574.92/72,553.32 = 33,712/x
  3. Step 3: Cross multiply
    52,574.92x = 72,553.32 × 33,712
  4. Step 4: Simplify right side
    52,574.92x = 2,445,917,523.84
  5. Step 5: Solve for x
    x = 2,445,917,523.84/52,574.92
  6. Step 6: Final answer
    x = 46,522.52

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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.