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Finding the Fourth Proportional to 30,014.58, 45,021.89 and 7,827.93

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Solution

The fourth proportional to 30,014.58, 45,021.89 and 7,827.93 is: 11,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.58 : 45,021.89 = 7,827.93 : x
  2. Step 2: Convert to fraction form
    30,014.58/45,021.89 = 7,827.93/x
  3. Step 3: Cross multiply
    30,014.58x = 45,021.89 × 7,827.93
  4. Step 4: Simplify right side
    30,014.58x = 352,428,203.39
  5. Step 5: Solve for x
    x = 352,428,203.39/30,014.58
  6. Step 6: Final answer
    x = 11,741.90

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1.5x scale

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.