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Finding the Fourth Proportional to 35,758.40, 53,621.40 and 13,564.40

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Solution

The fourth proportional to 35,758.40, 53,621.40 and 13,564.40 is: 20,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.40 : 53,621.40 = 13,564.40 : x
  2. Step 2: Convert to fraction form
    35,758.40/53,621.40 = 13,564.40/x
  3. Step 3: Cross multiply
    35,758.40x = 53,621.40 × 13,564.40
  4. Step 4: Simplify right side
    35,758.40x = 727,342,118.16
  5. Step 5: Solve for x
    x = 727,342,118.16/35,758.40
  6. Step 6: Final answer
    x = 20,340.45

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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.