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Finding the Fourth Proportional to 30,729, 46,094.58 and 17,575.32

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Solution

The fourth proportional to 30,729, 46,094.58 and 17,575.32 is: 26,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729 : 46,094.58 = 17,575.32 : x
  2. Step 2: Convert to fraction form
    30,729/46,094.58 = 17,575.32/x
  3. Step 3: Cross multiply
    30,729x = 46,094.58 × 17,575.32
  4. Step 4: Simplify right side
    30,729x = 810,126,993.77
  5. Step 5: Solve for x
    x = 810,126,993.77/30,729
  6. Step 6: Final answer
    x = 26,363.60

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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.