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Finding the Fourth Proportional to 46,510.86, 69,708.87 and 21,516.48

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Solution

The fourth proportional to 46,510.86, 69,708.87 and 21,516.48 is: 32,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.86 : 69,708.87 = 21,516.48 : x
  2. Step 2: Convert to fraction form
    46,510.86/69,708.87 = 21,516.48/x
  3. Step 3: Cross multiply
    46,510.86x = 69,708.87 × 21,516.48
  4. Step 4: Simplify right side
    46,510.86x = 1,499,889,507.18
  5. Step 5: Solve for x
    x = 1,499,889,507.18/46,510.86
  6. Step 6: Final answer
    x = 32,248.16

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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.