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Finding the Fourth Proportional to 56,705.76, 85,055.76 and 17,262

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Solution

The fourth proportional to 56,705.76, 85,055.76 and 17,262 is: 25,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,705.76 : 85,055.76 = 17,262 : x
  2. Step 2: Convert to fraction form
    56,705.76/85,055.76 = 17,262/x
  3. Step 3: Cross multiply
    56,705.76x = 85,055.76 × 17,262
  4. Step 4: Simplify right side
    56,705.76x = 1,468,232,529.12
  5. Step 5: Solve for x
    x = 1,468,232,529.12/56,705.76
  6. Step 6: Final answer
    x = 25,892.12

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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.