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Finding the Fourth Proportional to 30,156.68, 45,233.94 and 7,970.10

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Solution

The fourth proportional to 30,156.68, 45,233.94 and 7,970.10 is: 11,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.68 : 45,233.94 = 7,970.10 : x
  2. Step 2: Convert to fraction form
    30,156.68/45,233.94 = 7,970.10/x
  3. Step 3: Cross multiply
    30,156.68x = 45,233.94 × 7,970.10
  4. Step 4: Simplify right side
    30,156.68x = 360,519,025.19
  5. Step 5: Solve for x
    x = 360,519,025.19/30,156.68
  6. Step 6: Final answer
    x = 11,954.86

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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.