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Finding the Fourth Proportional to 30,145.02, 45,224.01 and 10,156.50

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Solution

The fourth proportional to 30,145.02, 45,224.01 and 10,156.50 is: 15,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.02 : 45,224.01 = 10,156.50 : x
  2. Step 2: Convert to fraction form
    30,145.02/45,224.01 = 10,156.50/x
  3. Step 3: Cross multiply
    30,145.02x = 45,224.01 × 10,156.50
  4. Step 4: Simplify right side
    30,145.02x = 459,317,686.13
  5. Step 5: Solve for x
    x = 459,317,686.13/30,145.02
  6. Step 6: Final answer
    x = 15,236.93

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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.