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Finding the Fourth Proportional to 59,400, 81,972 and 32,904

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Solution

The fourth proportional to 59,400, 81,972 and 32,904 is: 45,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400 : 81,972 = 32,904 : x
  2. Step 2: Convert to fraction form
    59,400/81,972 = 32,904/x
  3. Step 3: Cross multiply
    59,400x = 81,972 × 32,904
  4. Step 4: Simplify right side
    59,400x = 2,697,206,688
  5. Step 5: Solve for x
    x = 2,697,206,688/59,400
  6. Step 6: Final answer
    x = 45,407.52

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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.