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Finding the Fourth Proportional to 30,900.53, 46,332.29 and 9,831.48

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Solution

The fourth proportional to 30,900.53, 46,332.29 and 9,831.48 is: 14,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.53 : 46,332.29 = 9,831.48 : x
  2. Step 2: Convert to fraction form
    30,900.53/46,332.29 = 9,831.48/x
  3. Step 3: Cross multiply
    30,900.53x = 46,332.29 × 9,831.48
  4. Step 4: Simplify right side
    30,900.53x = 455,514,933.33
  5. Step 5: Solve for x
    x = 455,514,933.33/30,900.53
  6. Step 6: Final answer
    x = 14,741.33

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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.