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Finding the Fourth Proportional to 72,904.50, 109,376.19 and 35,968.50

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Solution

The fourth proportional to 72,904.50, 109,376.19 and 35,968.50 is: 53,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904.50 : 109,376.19 = 35,968.50 : x
  2. Step 2: Convert to fraction form
    72,904.50/109,376.19 = 35,968.50/x
  3. Step 3: Cross multiply
    72,904.50x = 109,376.19 × 35,968.50
  4. Step 4: Simplify right side
    72,904.50x = 3,934,097,490.02
  5. Step 5: Solve for x
    x = 3,934,097,490.02/72,904.50
  6. Step 6: Final answer
    x = 53,962.34

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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.