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Finding the Fourth Proportional to 64,175.84, 88,566 and 38,690.32

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Solution

The fourth proportional to 64,175.84, 88,566 and 38,690.32 is: 53,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175.84 : 88,566 = 38,690.32 : x
  2. Step 2: Convert to fraction form
    64,175.84/88,566 = 38,690.32/x
  3. Step 3: Cross multiply
    64,175.84x = 88,566 × 38,690.32
  4. Step 4: Simplify right side
    64,175.84x = 3,426,646,881.12
  5. Step 5: Solve for x
    x = 3,426,646,881.12/64,175.84
  6. Step 6: Final answer
    x = 53,394.66

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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.