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Finding the Fourth Proportional to 35,468.08, 53,202 and 10,508.32

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Solution

The fourth proportional to 35,468.08, 53,202 and 10,508.32 is: 15,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.08 : 53,202 = 10,508.32 : x
  2. Step 2: Convert to fraction form
    35,468.08/53,202 = 10,508.32/x
  3. Step 3: Cross multiply
    35,468.08x = 53,202 × 10,508.32
  4. Step 4: Simplify right side
    35,468.08x = 559,063,640.64
  5. Step 5: Solve for x
    x = 559,063,640.64/35,468.08
  6. Step 6: Final answer
    x = 15,762.44

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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.