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Finding the Fourth Proportional to 51,740.64, 77,536.80 and 29,508

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Solution

The fourth proportional to 51,740.64, 77,536.80 and 29,508 is: 44,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,740.64 : 77,536.80 = 29,508 : x
  2. Step 2: Convert to fraction form
    51,740.64/77,536.80 = 29,508/x
  3. Step 3: Cross multiply
    51,740.64x = 77,536.80 × 29,508
  4. Step 4: Simplify right side
    51,740.64x = 2,287,955,894.40
  5. Step 5: Solve for x
    x = 2,287,955,894.40/51,740.64
  6. Step 6: Final answer
    x = 44,219.71

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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.