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Finding the Fourth Proportional to 73,813.98, 110,652.84 and 29,430

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Solution

The fourth proportional to 73,813.98, 110,652.84 and 29,430 is: 44,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.98 : 110,652.84 = 29,430 : x
  2. Step 2: Convert to fraction form
    73,813.98/110,652.84 = 29,430/x
  3. Step 3: Cross multiply
    73,813.98x = 110,652.84 × 29,430
  4. Step 4: Simplify right side
    73,813.98x = 3,256,513,081.20
  5. Step 5: Solve for x
    x = 3,256,513,081.20/73,813.98
  6. Step 6: Final answer
    x = 44,117.84

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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.