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Finding the Fourth Proportional to 68,032.24, 101,894.48 and 36,386.40

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Solution

The fourth proportional to 68,032.24, 101,894.48 and 36,386.40 is: 54,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032.24 : 101,894.48 = 36,386.40 : x
  2. Step 2: Convert to fraction form
    68,032.24/101,894.48 = 36,386.40/x
  3. Step 3: Cross multiply
    68,032.24x = 101,894.48 × 36,386.40
  4. Step 4: Simplify right side
    68,032.24x = 3,707,573,307.07
  5. Step 5: Solve for x
    x = 3,707,573,307.07/68,032.24
  6. Step 6: Final answer
    x = 54,497.30

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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.