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Finding the Fourth Proportional to 76,443.60, 114,438.60 and 56,809.20

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Solution

The fourth proportional to 76,443.60, 114,438.60 and 56,809.20 is: 85,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443.60 : 114,438.60 = 56,809.20 : x
  2. Step 2: Convert to fraction form
    76,443.60/114,438.60 = 56,809.20/x
  3. Step 3: Cross multiply
    76,443.60x = 114,438.60 × 56,809.20
  4. Step 4: Simplify right side
    76,443.60x = 6,501,165,315.12
  5. Step 5: Solve for x
    x = 6,501,165,315.12/76,443.60
  6. Step 6: Final answer
    x = 85,045.25

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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.