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Finding the Fourth Proportional to 30,582.40, 45,830.40 and 22,622.80

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Solution

The fourth proportional to 30,582.40, 45,830.40 and 22,622.80 is: 33,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.40 : 45,830.40 = 22,622.80 : x
  2. Step 2: Convert to fraction form
    30,582.40/45,830.40 = 22,622.80/x
  3. Step 3: Cross multiply
    30,582.40x = 45,830.40 × 22,622.80
  4. Step 4: Simplify right side
    30,582.40x = 1,036,811,973.12
  5. Step 5: Solve for x
    x = 1,036,811,973.12/30,582.40
  6. Step 6: Final answer
    x = 33,902.24

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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.