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Finding the Fourth Proportional to 64,806.13, 96,966.69 and 46,129.15

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Solution

The fourth proportional to 64,806.13, 96,966.69 and 46,129.15 is: 69,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,806.13 : 96,966.69 = 46,129.15 : x
  2. Step 2: Convert to fraction form
    64,806.13/96,966.69 = 46,129.15/x
  3. Step 3: Cross multiply
    64,806.13x = 96,966.69 × 46,129.15
  4. Step 4: Simplify right side
    64,806.13x = 4,472,990,988.01
  5. Step 5: Solve for x
    x = 4,472,990,988.01/64,806.13
  6. Step 6: Final answer
    x = 69,021.11

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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.