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Finding the Fourth Proportional to 32,557, 44,928.68 and 17,653

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Solution

The fourth proportional to 32,557, 44,928.68 and 17,653 is: 24,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557 : 44,928.68 = 17,653 : x
  2. Step 2: Convert to fraction form
    32,557/44,928.68 = 17,653/x
  3. Step 3: Cross multiply
    32,557x = 44,928.68 × 17,653
  4. Step 4: Simplify right side
    32,557x = 793,125,988.04
  5. Step 5: Solve for x
    x = 793,125,988.04/32,557
  6. Step 6: Final answer
    x = 24,361.15

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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.