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Finding the Fourth Proportional to 64,463.04, 96,690.24 and 17,712

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Solution

The fourth proportional to 64,463.04, 96,690.24 and 17,712 is: 26,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,463.04 : 96,690.24 = 17,712 : x
  2. Step 2: Convert to fraction form
    64,463.04/96,690.24 = 17,712/x
  3. Step 3: Cross multiply
    64,463.04x = 96,690.24 × 17,712
  4. Step 4: Simplify right side
    64,463.04x = 1,712,577,530.88
  5. Step 5: Solve for x
    x = 1,712,577,530.88/64,463.04
  6. Step 6: Final answer
    x = 26,566.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.