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Finding the Fourth Proportional to 53,411.46, 80,117.21 and 20,139

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Solution

The fourth proportional to 53,411.46, 80,117.21 and 20,139 is: 30,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411.46 : 80,117.21 = 20,139 : x
  2. Step 2: Convert to fraction form
    53,411.46/80,117.21 = 20,139/x
  3. Step 3: Cross multiply
    53,411.46x = 80,117.21 × 20,139
  4. Step 4: Simplify right side
    53,411.46x = 1,613,480,492.19
  5. Step 5: Solve for x
    x = 1,613,480,492.19/53,411.46
  6. Step 6: Final answer
    x = 30,208.51

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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.