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Finding the Fourth Proportional to 32,083.68, 44,283.06 and 19,506

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Solution

The fourth proportional to 32,083.68, 44,283.06 and 19,506 is: 26,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.68 : 44,283.06 = 19,506 : x
  2. Step 2: Convert to fraction form
    32,083.68/44,283.06 = 19,506/x
  3. Step 3: Cross multiply
    32,083.68x = 44,283.06 × 19,506
  4. Step 4: Simplify right side
    32,083.68x = 863,785,368.36
  5. Step 5: Solve for x
    x = 863,785,368.36/32,083.68
  6. Step 6: Final answer
    x = 26,922.89

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Why These Related Problems?

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