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Finding the Fourth Proportional to 35,707.40, 53,530.92 and 22,530.80

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Solution

The fourth proportional to 35,707.40, 53,530.92 and 22,530.80 is: 33,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707.40 : 53,530.92 = 22,530.80 : x
  2. Step 2: Convert to fraction form
    35,707.40/53,530.92 = 22,530.80/x
  3. Step 3: Cross multiply
    35,707.40x = 53,530.92 × 22,530.80
  4. Step 4: Simplify right side
    35,707.40x = 1,206,094,452.34
  5. Step 5: Solve for x
    x = 1,206,094,452.34/35,707.40
  6. Step 6: Final answer
    x = 33,777.16

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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.