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Finding the Fourth Proportional to 30,056.44, 45,089.10 and 9,275.08

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Solution

The fourth proportional to 30,056.44, 45,089.10 and 9,275.08 is: 13,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.44 : 45,089.10 = 9,275.08 : x
  2. Step 2: Convert to fraction form
    30,056.44/45,089.10 = 9,275.08/x
  3. Step 3: Cross multiply
    30,056.44x = 45,089.10 × 9,275.08
  4. Step 4: Simplify right side
    30,056.44x = 418,205,009.63
  5. Step 5: Solve for x
    x = 418,205,009.63/30,056.44
  6. Step 6: Final answer
    x = 13,913.99

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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.