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Finding the Fourth Proportional to 46,776, 64,603.20 and 36,292.80

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Solution

The fourth proportional to 46,776, 64,603.20 and 36,292.80 is: 50,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776 : 64,603.20 = 36,292.80 : x
  2. Step 2: Convert to fraction form
    46,776/64,603.20 = 36,292.80/x
  3. Step 3: Cross multiply
    46,776x = 64,603.20 × 36,292.80
  4. Step 4: Simplify right side
    46,776x = 2,344,631,016.96
  5. Step 5: Solve for x
    x = 2,344,631,016.96/46,776
  6. Step 6: Final answer
    x = 50,124.66

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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.