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Finding the Fourth Proportional to 30,292.74, 45,439.92 and 11,570.40

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Solution

The fourth proportional to 30,292.74, 45,439.92 and 11,570.40 is: 17,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.74 : 45,439.92 = 11,570.40 : x
  2. Step 2: Convert to fraction form
    30,292.74/45,439.92 = 11,570.40/x
  3. Step 3: Cross multiply
    30,292.74x = 45,439.92 × 11,570.40
  4. Step 4: Simplify right side
    30,292.74x = 525,758,050.37
  5. Step 5: Solve for x
    x = 525,758,050.37/30,292.74
  6. Step 6: Final answer
    x = 17,355.91

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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.