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Finding the Fourth Proportional to 73,892, 101,970.96 and 47,442.08

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Solution

The fourth proportional to 73,892, 101,970.96 and 47,442.08 is: 65,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892 : 101,970.96 = 47,442.08 : x
  2. Step 2: Convert to fraction form
    73,892/101,970.96 = 47,442.08/x
  3. Step 3: Cross multiply
    73,892x = 101,970.96 × 47,442.08
  4. Step 4: Simplify right side
    73,892x = 4,837,714,442.00
  5. Step 5: Solve for x
    x = 4,837,714,442.00/73,892
  6. Step 6: Final answer
    x = 65,470.07

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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.