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Finding the Fourth Proportional to 30,141.60, 45,212.88 and 7,957.24

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Solution

The fourth proportional to 30,141.60, 45,212.88 and 7,957.24 is: 11,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.60 : 45,212.88 = 7,957.24 : x
  2. Step 2: Convert to fraction form
    30,141.60/45,212.88 = 7,957.24/x
  3. Step 3: Cross multiply
    30,141.60x = 45,212.88 × 7,957.24
  4. Step 4: Simplify right side
    30,141.60x = 359,769,737.25
  5. Step 5: Solve for x
    x = 359,769,737.25/30,141.60
  6. Step 6: Final answer
    x = 11,935.99

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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.