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Finding the Fourth Proportional to 34,323, 51,484.50 and 13,546.50

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Solution

The fourth proportional to 34,323, 51,484.50 and 13,546.50 is: 20,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,323 : 51,484.50 = 13,546.50 : x
  2. Step 2: Convert to fraction form
    34,323/51,484.50 = 13,546.50/x
  3. Step 3: Cross multiply
    34,323x = 51,484.50 × 13,546.50
  4. Step 4: Simplify right side
    34,323x = 697,434,779.25
  5. Step 5: Solve for x
    x = 697,434,779.25/34,323
  6. Step 6: Final answer
    x = 20,319.75

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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.