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Finding the Fourth Proportional to 56,308.40, 77,704.62 and 32,435

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Solution

The fourth proportional to 56,308.40, 77,704.62 and 32,435 is: 44,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,308.40 : 77,704.62 = 32,435 : x
  2. Step 2: Convert to fraction form
    56,308.40/77,704.62 = 32,435/x
  3. Step 3: Cross multiply
    56,308.40x = 77,704.62 × 32,435
  4. Step 4: Simplify right side
    56,308.40x = 2,520,349,349.70
  5. Step 5: Solve for x
    x = 2,520,349,349.70/56,308.40
  6. Step 6: Final answer
    x = 44,759.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.