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Finding the Fourth Proportional to 100,703.12, 151,054.67 and 47,952.68

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Solution

The fourth proportional to 100,703.12, 151,054.67 and 47,952.68 is: 71,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,703.12 : 151,054.67 = 47,952.68 : x
  2. Step 2: Convert to fraction form
    100,703.12/151,054.67 = 47,952.68/x
  3. Step 3: Cross multiply
    100,703.12x = 151,054.67 × 47,952.68
  4. Step 4: Simplify right side
    100,703.12x = 7,243,475,617.62
  5. Step 5: Solve for x
    x = 7,243,475,617.62/100,703.12
  6. Step 6: Final answer
    x = 71,929.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.