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Finding the Fourth Proportional to 35,978.32, 53,973.72 and 11,017.78

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Solution

The fourth proportional to 35,978.32, 53,973.72 and 11,017.78 is: 16,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.32 : 53,973.72 = 11,017.78 : x
  2. Step 2: Convert to fraction form
    35,978.32/53,973.72 = 11,017.78/x
  3. Step 3: Cross multiply
    35,978.32x = 53,973.72 × 11,017.78
  4. Step 4: Simplify right side
    35,978.32x = 594,670,572.74
  5. Step 5: Solve for x
    x = 594,670,572.74/35,978.32
  6. Step 6: Final answer
    x = 16,528.58

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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.