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Finding the Fourth Proportional to 55,531.68, 83,297.54 and 16,088.82

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Solution

The fourth proportional to 55,531.68, 83,297.54 and 16,088.82 is: 24,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,531.68 : 83,297.54 = 16,088.82 : x
  2. Step 2: Convert to fraction form
    55,531.68/83,297.54 = 16,088.82/x
  3. Step 3: Cross multiply
    55,531.68x = 83,297.54 × 16,088.82
  4. Step 4: Simplify right side
    55,531.68x = 1,340,159,127.50
  5. Step 5: Solve for x
    x = 1,340,159,127.50/55,531.68
  6. Step 6: Final answer
    x = 24,133.24

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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.