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Finding the Fourth Proportional to 73,693.76, 101,713.76 and 46,831

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Solution

The fourth proportional to 73,693.76, 101,713.76 and 46,831 is: 64,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.76 : 101,713.76 = 46,831 : x
  2. Step 2: Convert to fraction form
    73,693.76/101,713.76 = 46,831/x
  3. Step 3: Cross multiply
    73,693.76x = 101,713.76 × 46,831
  4. Step 4: Simplify right side
    73,693.76x = 4,763,357,094.56
  5. Step 5: Solve for x
    x = 4,763,357,094.56/73,693.76
  6. Step 6: Final answer
    x = 64,637.18

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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.