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Finding the Fourth Proportional to 38,064, 52,528.32 and 23,160

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Solution

The fourth proportional to 38,064, 52,528.32 and 23,160 is: 31,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 52,528.32 = 23,160 : x
  2. Step 2: Convert to fraction form
    38,064/52,528.32 = 23,160/x
  3. Step 3: Cross multiply
    38,064x = 52,528.32 × 23,160
  4. Step 4: Simplify right side
    38,064x = 1,216,555,891.20
  5. Step 5: Solve for x
    x = 1,216,555,891.20/38,064
  6. Step 6: Final answer
    x = 31,960.80

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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.