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Finding the Fourth Proportional to 109,886.88, 164,838.52 and 46,699.90

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Solution

The fourth proportional to 109,886.88, 164,838.52 and 46,699.90 is: 70,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,886.88 : 164,838.52 = 46,699.90 : x
  2. Step 2: Convert to fraction form
    109,886.88/164,838.52 = 46,699.90/x
  3. Step 3: Cross multiply
    109,886.88x = 164,838.52 × 46,699.90
  4. Step 4: Simplify right side
    109,886.88x = 7,697,942,400.15
  5. Step 5: Solve for x
    x = 7,697,942,400.15/109,886.88
  6. Step 6: Final answer
    x = 70,053.33

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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.