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Finding the Fourth Proportional to 64,531.86, 89,055.10 and 35,854.14

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Solution

The fourth proportional to 64,531.86, 89,055.10 and 35,854.14 is: 49,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,531.86 : 89,055.10 = 35,854.14 : x
  2. Step 2: Convert to fraction form
    64,531.86/89,055.10 = 35,854.14/x
  3. Step 3: Cross multiply
    64,531.86x = 89,055.10 × 35,854.14
  4. Step 4: Simplify right side
    64,531.86x = 3,192,994,200.21
  5. Step 5: Solve for x
    x = 3,192,994,200.21/64,531.86
  6. Step 6: Final answer
    x = 49,479.35

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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.