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Finding the Fourth Proportional to 56,410.49, 77,854.25 and 32,536.64

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Solution

The fourth proportional to 56,410.49, 77,854.25 and 32,536.64 is: 44,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410.49 : 77,854.25 = 32,536.64 : x
  2. Step 2: Convert to fraction form
    56,410.49/77,854.25 = 32,536.64/x
  3. Step 3: Cross multiply
    56,410.49x = 77,854.25 × 32,536.64
  4. Step 4: Simplify right side
    56,410.49x = 2,533,115,980.70
  5. Step 5: Solve for x
    x = 2,533,115,980.70/56,410.49
  6. Step 6: Final answer
    x = 44,905.05

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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.