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Finding the Fourth Proportional to 64,968, 89,656.38 and 35,160

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Solution

The fourth proportional to 64,968, 89,656.38 and 35,160 is: 48,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,968 : 89,656.38 = 35,160 : x
  2. Step 2: Convert to fraction form
    64,968/89,656.38 = 35,160/x
  3. Step 3: Cross multiply
    64,968x = 89,656.38 × 35,160
  4. Step 4: Simplify right side
    64,968x = 3,152,318,320.80
  5. Step 5: Solve for x
    x = 3,152,318,320.80/64,968
  6. Step 6: Final answer
    x = 48,521.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.