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Finding the Fourth Proportional to 77,765.64, 116,461.59 and 44,384.50

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Solution

The fourth proportional to 77,765.64, 116,461.59 and 44,384.50 is: 66,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,765.64 : 116,461.59 = 44,384.50 : x
  2. Step 2: Convert to fraction form
    77,765.64/116,461.59 = 44,384.50/x
  3. Step 3: Cross multiply
    77,765.64x = 116,461.59 × 44,384.50
  4. Step 4: Simplify right side
    77,765.64x = 5,169,089,217.77
  5. Step 5: Solve for x
    x = 5,169,089,217.77/77,765.64
  6. Step 6: Final answer
    x = 66,470.09

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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.