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Finding the Fourth Proportional to 64,085.63, 96,128.14 and 35,609.17

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Solution

The fourth proportional to 64,085.63, 96,128.14 and 35,609.17 is: 53,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,085.63 : 96,128.14 = 35,609.17 : x
  2. Step 2: Convert to fraction form
    64,085.63/96,128.14 = 35,609.17/x
  3. Step 3: Cross multiply
    64,085.63x = 96,128.14 × 35,609.17
  4. Step 4: Simplify right side
    64,085.63x = 3,423,043,296.86
  5. Step 5: Solve for x
    x = 3,423,043,296.86/64,085.63
  6. Step 6: Final answer
    x = 53,413.59

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1.5x scale

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.