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Finding the Fourth Proportional to 30,021.72, 45,019.74 and 10,302.26

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Solution

The fourth proportional to 30,021.72, 45,019.74 and 10,302.26 is: 15,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021.72 : 45,019.74 = 10,302.26 : x
  2. Step 2: Convert to fraction form
    30,021.72/45,019.74 = 10,302.26/x
  3. Step 3: Cross multiply
    30,021.72x = 45,019.74 × 10,302.26
  4. Step 4: Simplify right side
    30,021.72x = 463,805,066.61
  5. Step 5: Solve for x
    x = 463,805,066.61/30,021.72
  6. Step 6: Final answer
    x = 15,448.98

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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.