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Finding the Fourth Proportional to 55,624.64, 83,460 and 22,368.26

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Solution

The fourth proportional to 55,624.64, 83,460 and 22,368.26 is: 33,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,624.64 : 83,460 = 22,368.26 : x
  2. Step 2: Convert to fraction form
    55,624.64/83,460 = 22,368.26/x
  3. Step 3: Cross multiply
    55,624.64x = 83,460 × 22,368.26
  4. Step 4: Simplify right side
    55,624.64x = 1,866,854,979.60
  5. Step 5: Solve for x
    x = 1,866,854,979.60/55,624.64
  6. Step 6: Final answer
    x = 33,561.66

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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.