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Finding the Fourth Proportional to 32,862, 49,227.84 and 15,307.68

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Solution

The fourth proportional to 32,862, 49,227.84 and 15,307.68 is: 22,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862 : 49,227.84 = 15,307.68 : x
  2. Step 2: Convert to fraction form
    32,862/49,227.84 = 15,307.68/x
  3. Step 3: Cross multiply
    32,862x = 49,227.84 × 15,307.68
  4. Step 4: Simplify right side
    32,862x = 753,564,021.81
  5. Step 5: Solve for x
    x = 753,564,021.81/32,862
  6. Step 6: Final answer
    x = 22,931.17

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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.