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Finding the Fourth Proportional to 96,045.84, 144,084.96 and 39,916.08

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Solution

The fourth proportional to 96,045.84, 144,084.96 and 39,916.08 is: 59,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,045.84 : 144,084.96 = 39,916.08 : x
  2. Step 2: Convert to fraction form
    96,045.84/144,084.96 = 39,916.08/x
  3. Step 3: Cross multiply
    96,045.84x = 144,084.96 × 39,916.08
  4. Step 4: Simplify right side
    96,045.84x = 5,751,306,790.16
  5. Step 5: Solve for x
    x = 5,751,306,790.16/96,045.84
  6. Step 6: Final answer
    x = 59,880.85

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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.