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Finding the Fourth Proportional to 77,009.80, 115,320.30 and 61,457.80

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Solution

The fourth proportional to 77,009.80, 115,320.30 and 61,457.80 is: 92,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,009.80 : 115,320.30 = 61,457.80 : x
  2. Step 2: Convert to fraction form
    77,009.80/115,320.30 = 61,457.80/x
  3. Step 3: Cross multiply
    77,009.80x = 115,320.30 × 61,457.80
  4. Step 4: Simplify right side
    77,009.80x = 7,087,331,933.34
  5. Step 5: Solve for x
    x = 7,087,331,933.34/77,009.80
  6. Step 6: Final answer
    x = 92,031.56

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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.