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Finding the Fourth Proportional to 74,977.60, 112,509.60 and 28,235.20

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Solution

The fourth proportional to 74,977.60, 112,509.60 and 28,235.20 is: 42,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,977.60 : 112,509.60 = 28,235.20 : x
  2. Step 2: Convert to fraction form
    74,977.60/112,509.60 = 28,235.20/x
  3. Step 3: Cross multiply
    74,977.60x = 112,509.60 × 28,235.20
  4. Step 4: Simplify right side
    74,977.60x = 3,176,731,057.92
  5. Step 5: Solve for x
    x = 3,176,731,057.92/74,977.60
  6. Step 6: Final answer
    x = 42,369.07

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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.