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Finding the Fourth Proportional to 64,214.51, 88,620.68 and 35,929.31

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Solution

The fourth proportional to 64,214.51, 88,620.68 and 35,929.31 is: 49,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214.51 : 88,620.68 = 35,929.31 : x
  2. Step 2: Convert to fraction form
    64,214.51/88,620.68 = 35,929.31/x
  3. Step 3: Cross multiply
    64,214.51x = 88,620.68 × 35,929.31
  4. Step 4: Simplify right side
    64,214.51x = 3,184,079,530.85
  5. Step 5: Solve for x
    x = 3,184,079,530.85/64,214.51
  6. Step 6: Final answer
    x = 49,585.05

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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.