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Finding the Fourth Proportional to 30,242.44, 45,368.14 and 9,463.24

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Solution

The fourth proportional to 30,242.44, 45,368.14 and 9,463.24 is: 14,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.44 : 45,368.14 = 9,463.24 : x
  2. Step 2: Convert to fraction form
    30,242.44/45,368.14 = 9,463.24/x
  3. Step 3: Cross multiply
    30,242.44x = 45,368.14 × 9,463.24
  4. Step 4: Simplify right side
    30,242.44x = 429,329,597.17
  5. Step 5: Solve for x
    x = 429,329,597.17/30,242.44
  6. Step 6: Final answer
    x = 14,196.26

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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.