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Finding the Fourth Proportional to 57,817.74, 79,813.08 and 35,164

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Solution

The fourth proportional to 57,817.74, 79,813.08 and 35,164 is: 48,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,817.74 : 79,813.08 = 35,164 : x
  2. Step 2: Convert to fraction form
    57,817.74/79,813.08 = 35,164/x
  3. Step 3: Cross multiply
    57,817.74x = 79,813.08 × 35,164
  4. Step 4: Simplify right side
    57,817.74x = 2,806,547,145.12
  5. Step 5: Solve for x
    x = 2,806,547,145.12/57,817.74
  6. Step 6: Final answer
    x = 48,541.28

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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.