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Finding the Fourth Proportional to 65,435.86, 90,287.47 and 38,199.58

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Solution

The fourth proportional to 65,435.86, 90,287.47 and 38,199.58 is: 52,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435.86 : 90,287.47 = 38,199.58 : x
  2. Step 2: Convert to fraction form
    65,435.86/90,287.47 = 38,199.58/x
  3. Step 3: Cross multiply
    65,435.86x = 90,287.47 × 38,199.58
  4. Step 4: Simplify right side
    65,435.86x = 3,448,943,561.08
  5. Step 5: Solve for x
    x = 3,448,943,561.08/65,435.86
  6. Step 6: Final answer
    x = 52,707.24

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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.