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Finding the Fourth Proportional to 101,646.83, 152,462.93 and 31,524.32

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Solution

The fourth proportional to 101,646.83, 152,462.93 and 31,524.32 is: 47,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646.83 : 152,462.93 = 31,524.32 : x
  2. Step 2: Convert to fraction form
    101,646.83/152,462.93 = 31,524.32/x
  3. Step 3: Cross multiply
    101,646.83x = 152,462.93 × 31,524.32
  4. Step 4: Simplify right side
    101,646.83x = 4,806,290,416.99
  5. Step 5: Solve for x
    x = 4,806,290,416.99/101,646.83
  6. Step 6: Final answer
    x = 47,284.21

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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.