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Finding the Fourth Proportional to 36,466, 54,701.70 and 14,277.40

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Solution

The fourth proportional to 36,466, 54,701.70 and 14,277.40 is: 21,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,466 : 54,701.70 = 14,277.40 : x
  2. Step 2: Convert to fraction form
    36,466/54,701.70 = 14,277.40/x
  3. Step 3: Cross multiply
    36,466x = 54,701.70 × 14,277.40
  4. Step 4: Simplify right side
    36,466x = 780,998,051.58
  5. Step 5: Solve for x
    x = 780,998,051.58/36,466
  6. Step 6: Final answer
    x = 21,417.16

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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.