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Finding the Fourth Proportional to 30,615.69, 45,925.25 and 9,558.64

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Solution

The fourth proportional to 30,615.69, 45,925.25 and 9,558.64 is: 14,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.69 : 45,925.25 = 9,558.64 : x
  2. Step 2: Convert to fraction form
    30,615.69/45,925.25 = 9,558.64/x
  3. Step 3: Cross multiply
    30,615.69x = 45,925.25 × 9,558.64
  4. Step 4: Simplify right side
    30,615.69x = 438,982,961.44
  5. Step 5: Solve for x
    x = 438,982,961.44/30,615.69
  6. Step 6: Final answer
    x = 14,338.50

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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.