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Finding the Fourth Proportional to 65,007.50, 89,710.35 and 35,199.50

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Solution

The fourth proportional to 65,007.50, 89,710.35 and 35,199.50 is: 48,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007.50 : 89,710.35 = 35,199.50 : x
  2. Step 2: Convert to fraction form
    65,007.50/89,710.35 = 35,199.50/x
  3. Step 3: Cross multiply
    65,007.50x = 89,710.35 × 35,199.50
  4. Step 4: Simplify right side
    65,007.50x = 3,157,759,464.83
  5. Step 5: Solve for x
    x = 3,157,759,464.83/65,007.50
  6. Step 6: Final answer
    x = 48,575.31

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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.