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Finding the Fourth Proportional to 101,825.64, 152,557.74 and 42,530.82

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Solution

The fourth proportional to 101,825.64, 152,557.74 and 42,530.82 is: 63,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,825.64 : 152,557.74 = 42,530.82 : x
  2. Step 2: Convert to fraction form
    101,825.64/152,557.74 = 42,530.82/x
  3. Step 3: Cross multiply
    101,825.64x = 152,557.74 × 42,530.82
  4. Step 4: Simplify right side
    101,825.64x = 6,488,405,779.55
  5. Step 5: Solve for x
    x = 6,488,405,779.55/101,825.64
  6. Step 6: Final answer
    x = 63,720.75

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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.