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Finding the Fourth Proportional to 30,275.84, 45,415.68 and 9,500.16

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Solution

The fourth proportional to 30,275.84, 45,415.68 and 9,500.16 is: 14,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.84 : 45,415.68 = 9,500.16 : x
  2. Step 2: Convert to fraction form
    30,275.84/45,415.68 = 9,500.16/x
  3. Step 3: Cross multiply
    30,275.84x = 45,415.68 × 9,500.16
  4. Step 4: Simplify right side
    30,275.84x = 431,456,226.51
  5. Step 5: Solve for x
    x = 431,456,226.51/30,275.84
  6. Step 6: Final answer
    x = 14,250.84

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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.