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Finding the Fourth Proportional to 46,072, 63,579.36 and 26,200

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Solution

The fourth proportional to 46,072, 63,579.36 and 26,200 is: 36,156

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072 : 63,579.36 = 26,200 : x
  2. Step 2: Convert to fraction form
    46,072/63,579.36 = 26,200/x
  3. Step 3: Cross multiply
    46,072x = 63,579.36 × 26,200
  4. Step 4: Simplify right side
    46,072x = 1,665,779,232
  5. Step 5: Solve for x
    x = 1,665,779,232/46,072
  6. Step 6: Final answer
    x = 36,156

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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.