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Finding the Fourth Proportional to 64,307.84, 96,454.08 and 27,382.40

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Solution

The fourth proportional to 64,307.84, 96,454.08 and 27,382.40 is: 41,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,307.84 : 96,454.08 = 27,382.40 : x
  2. Step 2: Convert to fraction form
    64,307.84/96,454.08 = 27,382.40/x
  3. Step 3: Cross multiply
    64,307.84x = 96,454.08 × 27,382.40
  4. Step 4: Simplify right side
    64,307.84x = 2,641,144,200.19
  5. Step 5: Solve for x
    x = 2,641,144,200.19/64,307.84
  6. Step 6: Final answer
    x = 41,070.33

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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.