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Finding the Fourth Proportional to 77,474.76, 116,173.78 and 27,547.40

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Solution

The fourth proportional to 77,474.76, 116,173.78 and 27,547.40 is: 41,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474.76 : 116,173.78 = 27,547.40 : x
  2. Step 2: Convert to fraction form
    77,474.76/116,173.78 = 27,547.40/x
  3. Step 3: Cross multiply
    77,474.76x = 116,173.78 × 27,547.40
  4. Step 4: Simplify right side
    77,474.76x = 3,200,285,587.17
  5. Step 5: Solve for x
    x = 3,200,285,587.17/77,474.76
  6. Step 6: Final answer
    x = 41,307.46

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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.