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Finding the Fourth Proportional to 65,702.57, 90,669.55 and 35,894.57

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Solution

The fourth proportional to 65,702.57, 90,669.55 and 35,894.57 is: 49,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702.57 : 90,669.55 = 35,894.57 : x
  2. Step 2: Convert to fraction form
    65,702.57/90,669.55 = 35,894.57/x
  3. Step 3: Cross multiply
    65,702.57x = 90,669.55 × 35,894.57
  4. Step 4: Simplify right side
    65,702.57x = 3,254,544,056.00
  5. Step 5: Solve for x
    x = 3,254,544,056.00/65,702.57
  6. Step 6: Final answer
    x = 49,534.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.