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Finding the Fourth Proportional to 99,356.84, 149,050.08 and 32,804

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Solution

The fourth proportional to 99,356.84, 149,050.08 and 32,804 is: 49,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,356.84 : 149,050.08 = 32,804 : x
  2. Step 2: Convert to fraction form
    99,356.84/149,050.08 = 32,804/x
  3. Step 3: Cross multiply
    99,356.84x = 149,050.08 × 32,804
  4. Step 4: Simplify right side
    99,356.84x = 4,889,438,824.32
  5. Step 5: Solve for x
    x = 4,889,438,824.32/99,356.84
  6. Step 6: Final answer
    x = 49,210.89

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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.