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Finding the Fourth Proportional to 30,239.12, 45,293.04 and 14,624

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Solution

The fourth proportional to 30,239.12, 45,293.04 and 14,624 is: 21,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,239.12 : 45,293.04 = 14,624 : x
  2. Step 2: Convert to fraction form
    30,239.12/45,293.04 = 14,624/x
  3. Step 3: Cross multiply
    30,239.12x = 45,293.04 × 14,624
  4. Step 4: Simplify right side
    30,239.12x = 662,365,416.96
  5. Step 5: Solve for x
    x = 662,365,416.96/30,239.12
  6. Step 6: Final answer
    x = 21,904.26

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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.