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Finding the Fourth Proportional to 58,649, 87,973.50 and 25,817

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Solution

The fourth proportional to 58,649, 87,973.50 and 25,817 is: 38,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,649 : 87,973.50 = 25,817 : x
  2. Step 2: Convert to fraction form
    58,649/87,973.50 = 25,817/x
  3. Step 3: Cross multiply
    58,649x = 87,973.50 × 25,817
  4. Step 4: Simplify right side
    58,649x = 2,271,211,849.50
  5. Step 5: Solve for x
    x = 2,271,211,849.50/58,649
  6. Step 6: Final answer
    x = 38,725.50

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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.