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Finding the Fourth Proportional to 70,577.44, 105,866.64 and 23,830.72

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Solution

The fourth proportional to 70,577.44, 105,866.64 and 23,830.72 is: 35,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,577.44 : 105,866.64 = 23,830.72 : x
  2. Step 2: Convert to fraction form
    70,577.44/105,866.64 = 23,830.72/x
  3. Step 3: Cross multiply
    70,577.44x = 105,866.64 × 23,830.72
  4. Step 4: Simplify right side
    70,577.44x = 2,522,878,255.18
  5. Step 5: Solve for x
    x = 2,522,878,255.18/70,577.44
  6. Step 6: Final answer
    x = 35,746.24

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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.