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Finding the Fourth Proportional to 56,205, 84,312.36 and 14,652

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Solution

The fourth proportional to 56,205, 84,312.36 and 14,652 is: 21,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,205 : 84,312.36 = 14,652 : x
  2. Step 2: Convert to fraction form
    56,205/84,312.36 = 14,652/x
  3. Step 3: Cross multiply
    56,205x = 84,312.36 × 14,652
  4. Step 4: Simplify right side
    56,205x = 1,235,344,698.72
  5. Step 5: Solve for x
    x = 1,235,344,698.72/56,205
  6. Step 6: Final answer
    x = 21,979.27

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