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Finding the Fourth Proportional to 46,696.96, 64,441.20 and 25,475.76

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Solution

The fourth proportional to 46,696.96, 64,441.20 and 25,475.76 is: 35,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696.96 : 64,441.20 = 25,475.76 : x
  2. Step 2: Convert to fraction form
    46,696.96/64,441.20 = 25,475.76/x
  3. Step 3: Cross multiply
    46,696.96x = 64,441.20 × 25,475.76
  4. Step 4: Simplify right side
    46,696.96x = 1,641,688,545.31
  5. Step 5: Solve for x
    x = 1,641,688,545.31/46,696.96
  6. Step 6: Final answer
    x = 35,156.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.