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Finding the Fourth Proportional to 30,897.80, 46,368.30 and 19,831.40

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Solution

The fourth proportional to 30,897.80, 46,368.30 and 19,831.40 is: 29,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.80 : 46,368.30 = 19,831.40 : x
  2. Step 2: Convert to fraction form
    30,897.80/46,368.30 = 19,831.40/x
  3. Step 3: Cross multiply
    30,897.80x = 46,368.30 × 19,831.40
  4. Step 4: Simplify right side
    30,897.80x = 919,548,304.62
  5. Step 5: Solve for x
    x = 919,548,304.62/30,897.80
  6. Step 6: Final answer
    x = 29,760.96

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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.