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Finding the Fourth Proportional to 77,080.96, 106,371.84 and 43,547.04

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Solution

The fourth proportional to 77,080.96, 106,371.84 and 43,547.04 is: 60,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.96 : 106,371.84 = 43,547.04 : x
  2. Step 2: Convert to fraction form
    77,080.96/106,371.84 = 43,547.04/x
  3. Step 3: Cross multiply
    77,080.96x = 106,371.84 × 43,547.04
  4. Step 4: Simplify right side
    77,080.96x = 4,632,178,771.35
  5. Step 5: Solve for x
    x = 4,632,178,771.35/77,080.96
  6. Step 6: Final answer
    x = 60,094.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.