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Finding the Fourth Proportional to 32,459.90, 48,692.64 and 11,398.13

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Solution

The fourth proportional to 32,459.90, 48,692.64 and 11,398.13 is: 17,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.90 : 48,692.64 = 11,398.13 : x
  2. Step 2: Convert to fraction form
    32,459.90/48,692.64 = 11,398.13/x
  3. Step 3: Cross multiply
    32,459.90x = 48,692.64 × 11,398.13
  4. Step 4: Simplify right side
    32,459.90x = 555,004,926.47
  5. Step 5: Solve for x
    x = 555,004,926.47/32,459.90
  6. Step 6: Final answer
    x = 17,098.17

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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.