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Finding the Fourth Proportional to 99,901, 149,851.50 and 26,029

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Solution

The fourth proportional to 99,901, 149,851.50 and 26,029 is: 39,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,901 : 149,851.50 = 26,029 : x
  2. Step 2: Convert to fraction form
    99,901/149,851.50 = 26,029/x
  3. Step 3: Cross multiply
    99,901x = 149,851.50 × 26,029
  4. Step 4: Simplify right side
    99,901x = 3,900,484,693.50
  5. Step 5: Solve for x
    x = 3,900,484,693.50/99,901
  6. Step 6: Final answer
    x = 39,043.50

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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.