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Finding the Fourth Proportional to 85,927.68, 128,893.68 and 23,598

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Solution

The fourth proportional to 85,927.68, 128,893.68 and 23,598 is: 35,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,927.68 : 128,893.68 = 23,598 : x
  2. Step 2: Convert to fraction form
    85,927.68/128,893.68 = 23,598/x
  3. Step 3: Cross multiply
    85,927.68x = 128,893.68 × 23,598
  4. Step 4: Simplify right side
    85,927.68x = 3,041,633,060.64
  5. Step 5: Solve for x
    x = 3,041,633,060.64/85,927.68
  6. Step 6: Final answer
    x = 35,397.59

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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.