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Finding the Fourth Proportional to 113,862.79, 170,794.77 and 47,303

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Solution

The fourth proportional to 113,862.79, 170,794.77 and 47,303 is: 70,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,862.79 : 170,794.77 = 47,303 : x
  2. Step 2: Convert to fraction form
    113,862.79/170,794.77 = 47,303/x
  3. Step 3: Cross multiply
    113,862.79x = 170,794.77 × 47,303
  4. Step 4: Simplify right side
    113,862.79x = 8,079,105,005.31
  5. Step 5: Solve for x
    x = 8,079,105,005.31/113,862.79
  6. Step 6: Final answer
    x = 70,954.74

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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.