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Finding the Fourth Proportional to 49,529.68, 74,293.56 and 12,090

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Solution

The fourth proportional to 49,529.68, 74,293.56 and 12,090 is: 18,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529.68 : 74,293.56 = 12,090 : x
  2. Step 2: Convert to fraction form
    49,529.68/74,293.56 = 12,090/x
  3. Step 3: Cross multiply
    49,529.68x = 74,293.56 × 12,090
  4. Step 4: Simplify right side
    49,529.68x = 898,209,140.40
  5. Step 5: Solve for x
    x = 898,209,140.40/49,529.68
  6. Step 6: Final answer
    x = 18,134.77

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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.