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Finding the Fourth Proportional to 30,270.63, 45,405.95 and 9,495.75

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Solution

The fourth proportional to 30,270.63, 45,405.95 and 9,495.75 is: 14,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.63 : 45,405.95 = 9,495.75 : x
  2. Step 2: Convert to fraction form
    30,270.63/45,405.95 = 9,495.75/x
  3. Step 3: Cross multiply
    30,270.63x = 45,405.95 × 9,495.75
  4. Step 4: Simplify right side
    30,270.63x = 431,163,502.23
  5. Step 5: Solve for x
    x = 431,163,502.23/30,270.63
  6. Step 6: Final answer
    x = 14,243.63

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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.