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Finding the Fourth Proportional to 30,801.60, 46,125.60 and 24,657.60

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Solution

The fourth proportional to 30,801.60, 46,125.60 and 24,657.60 is: 36,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.60 : 46,125.60 = 24,657.60 : x
  2. Step 2: Convert to fraction form
    30,801.60/46,125.60 = 24,657.60/x
  3. Step 3: Cross multiply
    30,801.60x = 46,125.60 × 24,657.60
  4. Step 4: Simplify right side
    30,801.60x = 1,137,346,594.56
  5. Step 5: Solve for x
    x = 1,137,346,594.56/30,801.60
  6. Step 6: Final answer
    x = 36,924.92

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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.