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Finding the Fourth Proportional to 55,478.82, 83,214.98 and 16,035.06

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Solution

The fourth proportional to 55,478.82, 83,214.98 and 16,035.06 is: 24,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,478.82 : 83,214.98 = 16,035.06 : x
  2. Step 2: Convert to fraction form
    55,478.82/83,214.98 = 16,035.06/x
  3. Step 3: Cross multiply
    55,478.82x = 83,214.98 × 16,035.06
  4. Step 4: Simplify right side
    55,478.82x = 1,334,357,197.20
  5. Step 5: Solve for x
    x = 1,334,357,197.20/55,478.82
  6. Step 6: Final answer
    x = 24,051.65

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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.