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Finding the Fourth Proportional to 38,728.66, 53,441.16 and 21,730.68

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Solution

The fourth proportional to 38,728.66, 53,441.16 and 21,730.68 is: 29,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.66 : 53,441.16 = 21,730.68 : x
  2. Step 2: Convert to fraction form
    38,728.66/53,441.16 = 21,730.68/x
  3. Step 3: Cross multiply
    38,728.66x = 53,441.16 × 21,730.68
  4. Step 4: Simplify right side
    38,728.66x = 1,161,312,746.79
  5. Step 5: Solve for x
    x = 1,161,312,746.79/38,728.66
  6. Step 6: Final answer
    x = 29,985.87

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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.