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Finding the Fourth Proportional to 32,156.06, 44,376.93 and 19,409.02

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Solution

The fourth proportional to 32,156.06, 44,376.93 and 19,409.02 is: 26,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.06 : 44,376.93 = 19,409.02 : x
  2. Step 2: Convert to fraction form
    32,156.06/44,376.93 = 19,409.02/x
  3. Step 3: Cross multiply
    32,156.06x = 44,376.93 × 19,409.02
  4. Step 4: Simplify right side
    32,156.06x = 861,312,610.97
  5. Step 5: Solve for x
    x = 861,312,610.97/32,156.06
  6. Step 6: Final answer
    x = 26,785.39

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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.