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Finding the Fourth Proportional to 35,406.60, 53,097.66 and 15,698.94

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Solution

The fourth proportional to 35,406.60, 53,097.66 and 15,698.94 is: 23,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.60 : 53,097.66 = 15,698.94 : x
  2. Step 2: Convert to fraction form
    35,406.60/53,097.66 = 15,698.94/x
  3. Step 3: Cross multiply
    35,406.60x = 53,097.66 × 15,698.94
  4. Step 4: Simplify right side
    35,406.60x = 833,576,978.48
  5. Step 5: Solve for x
    x = 833,576,978.48/35,406.60
  6. Step 6: Final answer
    x = 23,542.98

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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.