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Finding the Fourth Proportional to 109,368, 164,073.60 and 39,252.48

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Solution

The fourth proportional to 109,368, 164,073.60 and 39,252.48 is: 58,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368 : 164,073.60 = 39,252.48 : x
  2. Step 2: Convert to fraction form
    109,368/164,073.60 = 39,252.48/x
  3. Step 3: Cross multiply
    109,368x = 164,073.60 × 39,252.48
  4. Step 4: Simplify right side
    109,368x = 6,440,295,702.53
  5. Step 5: Solve for x
    x = 6,440,295,702.53/109,368
  6. Step 6: Final answer
    x = 58,886.47

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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.