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Finding the Fourth Proportional to 112,968, 169,478.04 and 39,096

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Solution

The fourth proportional to 112,968, 169,478.04 and 39,096 is: 58,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,968 : 169,478.04 = 39,096 : x
  2. Step 2: Convert to fraction form
    112,968/169,478.04 = 39,096/x
  3. Step 3: Cross multiply
    112,968x = 169,478.04 × 39,096
  4. Step 4: Simplify right side
    112,968x = 6,625,913,451.84
  5. Step 5: Solve for x
    x = 6,625,913,451.84/112,968
  6. Step 6: Final answer
    x = 58,653.01

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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.