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Finding the Fourth Proportional to 38,803, 53,545.62 and 22,883.80

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Solution

The fourth proportional to 38,803, 53,545.62 and 22,883.80 is: 31,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,803 : 53,545.62 = 22,883.80 : x
  2. Step 2: Convert to fraction form
    38,803/53,545.62 = 22,883.80/x
  3. Step 3: Cross multiply
    38,803x = 53,545.62 × 22,883.80
  4. Step 4: Simplify right side
    38,803x = 1,225,327,258.96
  5. Step 5: Solve for x
    x = 1,225,327,258.96/38,803
  6. Step 6: Final answer
    x = 31,578.16

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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.