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Finding the Fourth Proportional to 38,264.16, 52,802.20 and 21,267.84

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Solution

The fourth proportional to 38,264.16, 52,802.20 and 21,267.84 is: 29,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,264.16 : 52,802.20 = 21,267.84 : x
  2. Step 2: Convert to fraction form
    38,264.16/52,802.20 = 21,267.84/x
  3. Step 3: Cross multiply
    38,264.16x = 52,802.20 × 21,267.84
  4. Step 4: Simplify right side
    38,264.16x = 1,122,988,741.25
  5. Step 5: Solve for x
    x = 1,122,988,741.25/38,264.16
  6. Step 6: Final answer
    x = 29,348.32

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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.