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Finding the Fourth Proportional to 76,809.60, 115,106.40 and 61,041.60

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Solution

The fourth proportional to 76,809.60, 115,106.40 and 61,041.60 is: 91,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.60 : 115,106.40 = 61,041.60 : x
  2. Step 2: Convert to fraction form
    76,809.60/115,106.40 = 61,041.60/x
  3. Step 3: Cross multiply
    76,809.60x = 115,106.40 × 61,041.60
  4. Step 4: Simplify right side
    76,809.60x = 7,026,278,826.24
  5. Step 5: Solve for x
    x = 7,026,278,826.24/76,809.60
  6. Step 6: Final answer
    x = 91,476.57

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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.