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Finding the Fourth Proportional to 56,419, 84,633.63 and 14,866

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Solution

The fourth proportional to 56,419, 84,633.63 and 14,866 is: 22,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419 : 84,633.63 = 14,866 : x
  2. Step 2: Convert to fraction form
    56,419/84,633.63 = 14,866/x
  3. Step 3: Cross multiply
    56,419x = 84,633.63 × 14,866
  4. Step 4: Simplify right side
    56,419x = 1,258,163,543.58
  5. Step 5: Solve for x
    x = 1,258,163,543.58/56,419
  6. Step 6: Final answer
    x = 22,300.35

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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.