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Finding the Fourth Proportional to 30,526.22, 45,795.90 and 9,465.84

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Solution

The fourth proportional to 30,526.22, 45,795.90 and 9,465.84 is: 14,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,526.22 : 45,795.90 = 9,465.84 : x
  2. Step 2: Convert to fraction form
    30,526.22/45,795.90 = 9,465.84/x
  3. Step 3: Cross multiply
    30,526.22x = 45,795.90 × 9,465.84
  4. Step 4: Simplify right side
    30,526.22x = 433,496,456.74
  5. Step 5: Solve for x
    x = 433,496,456.74/30,526.22
  6. Step 6: Final answer
    x = 14,200.79

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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.