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Finding the Fourth Proportional to 109,885.88, 164,837.02 and 46,698.90

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Solution

The fourth proportional to 109,885.88, 164,837.02 and 46,698.90 is: 70,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,885.88 : 164,837.02 = 46,698.90 : x
  2. Step 2: Convert to fraction form
    109,885.88/164,837.02 = 46,698.90/x
  3. Step 3: Cross multiply
    109,885.88x = 164,837.02 × 46,698.90
  4. Step 4: Simplify right side
    109,885.88x = 7,697,707,513.28
  5. Step 5: Solve for x
    x = 7,697,707,513.28/109,885.88
  6. Step 6: Final answer
    x = 70,051.83

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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.