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Finding the Fourth Proportional to 30,223.20, 45,280.80 and 14,606.40

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Solution

The fourth proportional to 30,223.20, 45,280.80 and 14,606.40 is: 21,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.20 : 45,280.80 = 14,606.40 : x
  2. Step 2: Convert to fraction form
    30,223.20/45,280.80 = 14,606.40/x
  3. Step 3: Cross multiply
    30,223.20x = 45,280.80 × 14,606.40
  4. Step 4: Simplify right side
    30,223.20x = 661,389,477.12
  5. Step 5: Solve for x
    x = 661,389,477.12/30,223.20
  6. Step 6: Final answer
    x = 21,883.50

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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.