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Finding the Fourth Proportional to 53,068, 73,233.84 and 30,712

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Solution

The fourth proportional to 53,068, 73,233.84 and 30,712 is: 42,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,068 : 73,233.84 = 30,712 : x
  2. Step 2: Convert to fraction form
    53,068/73,233.84 = 30,712/x
  3. Step 3: Cross multiply
    53,068x = 73,233.84 × 30,712
  4. Step 4: Simplify right side
    53,068x = 2,249,157,694.08
  5. Step 5: Solve for x
    x = 2,249,157,694.08/53,068
  6. Step 6: Final answer
    x = 42,382.56

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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.