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Finding the Fourth Proportional to 32,881.17, 49,334.17 and 19,742.70

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Solution

The fourth proportional to 32,881.17, 49,334.17 and 19,742.70 is: 29,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.17 : 49,334.17 = 19,742.70 : x
  2. Step 2: Convert to fraction form
    32,881.17/49,334.17 = 19,742.70/x
  3. Step 3: Cross multiply
    32,881.17x = 49,334.17 × 19,742.70
  4. Step 4: Simplify right side
    32,881.17x = 973,989,718.06
  5. Step 5: Solve for x
    x = 973,989,718.06/32,881.17
  6. Step 6: Final answer
    x = 29,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.