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Finding the Fourth Proportional to 77,303.34, 115,857.90 and 41,763.24

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Solution

The fourth proportional to 77,303.34, 115,857.90 and 41,763.24 is: 62,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,303.34 : 115,857.90 = 41,763.24 : x
  2. Step 2: Convert to fraction form
    77,303.34/115,857.90 = 41,763.24/x
  3. Step 3: Cross multiply
    77,303.34x = 115,857.90 × 41,763.24
  4. Step 4: Simplify right side
    77,303.34x = 4,838,601,283.60
  5. Step 5: Solve for x
    x = 4,838,601,283.60/77,303.34
  6. Step 6: Final answer
    x = 62,592.40

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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.