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Finding the Fourth Proportional to 30,296.94, 45,444.71 and 8,110.29

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Solution

The fourth proportional to 30,296.94, 45,444.71 and 8,110.29 is: 12,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.94 : 45,444.71 = 8,110.29 : x
  2. Step 2: Convert to fraction form
    30,296.94/45,444.71 = 8,110.29/x
  3. Step 3: Cross multiply
    30,296.94x = 45,444.71 × 8,110.29
  4. Step 4: Simplify right side
    30,296.94x = 368,569,967.76
  5. Step 5: Solve for x
    x = 368,569,967.76/30,296.94
  6. Step 6: Final answer
    x = 12,165.26

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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.