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Finding the Fourth Proportional to 109,648.59, 164,411.37 and 53,368.88

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Solution

The fourth proportional to 109,648.59, 164,411.37 and 53,368.88 is: 80,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,648.59 : 164,411.37 = 53,368.88 : x
  2. Step 2: Convert to fraction form
    109,648.59/164,411.37 = 53,368.88/x
  3. Step 3: Cross multiply
    109,648.59x = 164,411.37 × 53,368.88
  4. Step 4: Simplify right side
    109,648.59x = 8,774,449,854.11
  5. Step 5: Solve for x
    x = 8,774,449,854.11/109,648.59
  6. Step 6: Final answer
    x = 80,023.37

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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.