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Finding the Fourth Proportional to 38,135.40, 57,148.53 and 21,460.47

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Solution

The fourth proportional to 38,135.40, 57,148.53 and 21,460.47 is: 32,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.40 : 57,148.53 = 21,460.47 : x
  2. Step 2: Convert to fraction form
    38,135.40/57,148.53 = 21,460.47/x
  3. Step 3: Cross multiply
    38,135.40x = 57,148.53 × 21,460.47
  4. Step 4: Simplify right side
    38,135.40x = 1,226,434,313.61
  5. Step 5: Solve for x
    x = 1,226,434,313.61/38,135.40
  6. Step 6: Final answer
    x = 32,160.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.