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Finding the Fourth Proportional to 30,549.53, 45,831.47 and 9,488.48

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Solution

The fourth proportional to 30,549.53, 45,831.47 and 9,488.48 is: 14,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.53 : 45,831.47 = 9,488.48 : x
  2. Step 2: Convert to fraction form
    30,549.53/45,831.47 = 9,488.48/x
  3. Step 3: Cross multiply
    30,549.53x = 45,831.47 × 9,488.48
  4. Step 4: Simplify right side
    30,549.53x = 434,870,986.47
  5. Step 5: Solve for x
    x = 434,870,986.47/30,549.53
  6. Step 6: Final answer
    x = 14,234.95

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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.