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Finding the Fourth Proportional to 99,717.84, 149,492.88 and 46,382.72

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Solution

The fourth proportional to 99,717.84, 149,492.88 and 46,382.72 is: 69,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,717.84 : 149,492.88 = 46,382.72 : x
  2. Step 2: Convert to fraction form
    99,717.84/149,492.88 = 46,382.72/x
  3. Step 3: Cross multiply
    99,717.84x = 149,492.88 × 46,382.72
  4. Step 4: Simplify right side
    99,717.84x = 6,933,885,647.57
  5. Step 5: Solve for x
    x = 6,933,885,647.57/99,717.84
  6. Step 6: Final answer
    x = 69,535.06

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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.