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Finding the Fourth Proportional to 104,715.59, 157,030.32 and 41,527

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Solution

The fourth proportional to 104,715.59, 157,030.32 and 41,527 is: 62,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,715.59 : 157,030.32 = 41,527 : x
  2. Step 2: Convert to fraction form
    104,715.59/157,030.32 = 41,527/x
  3. Step 3: Cross multiply
    104,715.59x = 157,030.32 × 41,527
  4. Step 4: Simplify right side
    104,715.59x = 6,520,998,098.64
  5. Step 5: Solve for x
    x = 6,520,998,098.64/104,715.59
  6. Step 6: Final answer
    x = 62,273.42

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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.