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Finding the Fourth Proportional to 38,411.67, 53,008.35 and 21,417

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Solution

The fourth proportional to 38,411.67, 53,008.35 and 21,417 is: 29,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.67 : 53,008.35 = 21,417 : x
  2. Step 2: Convert to fraction form
    38,411.67/53,008.35 = 21,417/x
  3. Step 3: Cross multiply
    38,411.67x = 53,008.35 × 21,417
  4. Step 4: Simplify right side
    38,411.67x = 1,135,279,831.95
  5. Step 5: Solve for x
    x = 1,135,279,831.95/38,411.67
  6. Step 6: Final answer
    x = 29,555.60

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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.