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Finding the Fourth Proportional to 35,688.96, 49,254.24 and 20,784

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Solution

The fourth proportional to 35,688.96, 49,254.24 and 20,784 is: 28,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688.96 : 49,254.24 = 20,784 : x
  2. Step 2: Convert to fraction form
    35,688.96/49,254.24 = 20,784/x
  3. Step 3: Cross multiply
    35,688.96x = 49,254.24 × 20,784
  4. Step 4: Simplify right side
    35,688.96x = 1,023,700,124.16
  5. Step 5: Solve for x
    x = 1,023,700,124.16/35,688.96
  6. Step 6: Final answer
    x = 28,683.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.