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Finding the Fourth Proportional to 30,275.74, 45,415.93 and 9,217.58

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Solution

The fourth proportional to 30,275.74, 45,415.93 and 9,217.58 is: 13,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.74 : 45,415.93 = 9,217.58 : x
  2. Step 2: Convert to fraction form
    30,275.74/45,415.93 = 9,217.58/x
  3. Step 3: Cross multiply
    30,275.74x = 45,415.93 × 9,217.58
  4. Step 4: Simplify right side
    30,275.74x = 418,624,911.08
  5. Step 5: Solve for x
    x = 418,624,911.08/30,275.74
  6. Step 6: Final answer
    x = 13,827.07

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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.