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Finding the Fourth Proportional to 38,442.86, 53,053.50 and 21,447.13

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Solution

The fourth proportional to 38,442.86, 53,053.50 and 21,447.13 is: 29,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.86 : 53,053.50 = 21,447.13 : x
  2. Step 2: Convert to fraction form
    38,442.86/53,053.50 = 21,447.13/x
  3. Step 3: Cross multiply
    38,442.86x = 53,053.50 × 21,447.13
  4. Step 4: Simplify right side
    38,442.86x = 1,137,845,311.46
  5. Step 5: Solve for x
    x = 1,137,845,311.46/38,442.86
  6. Step 6: Final answer
    x = 29,598.35

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