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Finding the Fourth Proportional to 77,558.64, 116,360.88 and 24,966.84

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Solution

The fourth proportional to 77,558.64, 116,360.88 and 24,966.84 is: 37,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,558.64 : 116,360.88 = 24,966.84 : x
  2. Step 2: Convert to fraction form
    77,558.64/116,360.88 = 24,966.84/x
  3. Step 3: Cross multiply
    77,558.64x = 116,360.88 × 24,966.84
  4. Step 4: Simplify right side
    77,558.64x = 2,905,163,473.22
  5. Step 5: Solve for x
    x = 2,905,163,473.22/77,558.64
  6. Step 6: Final answer
    x = 37,457.64

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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.