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Finding the Fourth Proportional to 30,156.66, 45,242.51 and 9,096.18

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Solution

The fourth proportional to 30,156.66, 45,242.51 and 9,096.18 is: 13,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.66 : 45,242.51 = 9,096.18 : x
  2. Step 2: Convert to fraction form
    30,156.66/45,242.51 = 9,096.18/x
  3. Step 3: Cross multiply
    30,156.66x = 45,242.51 × 9,096.18
  4. Step 4: Simplify right side
    30,156.66x = 411,533,969.13
  5. Step 5: Solve for x
    x = 411,533,969.13/30,156.66
  6. Step 6: Final answer
    x = 13,646.54

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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.