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Finding the Fourth Proportional to 46,305.37, 63,897.62 and 26,164

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Solution

The fourth proportional to 46,305.37, 63,897.62 and 26,164 is: 36,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,305.37 : 63,897.62 = 26,164 : x
  2. Step 2: Convert to fraction form
    46,305.37/63,897.62 = 26,164/x
  3. Step 3: Cross multiply
    46,305.37x = 63,897.62 × 26,164
  4. Step 4: Simplify right side
    46,305.37x = 1,671,817,329.68
  5. Step 5: Solve for x
    x = 1,671,817,329.68/46,305.37
  6. Step 6: Final answer
    x = 36,104.18

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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.