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Finding the Fourth Proportional to 46,287.70, 69,435.18 and 13,010.50

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Solution

The fourth proportional to 46,287.70, 69,435.18 and 13,010.50 is: 19,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287.70 : 69,435.18 = 13,010.50 : x
  2. Step 2: Convert to fraction form
    46,287.70/69,435.18 = 13,010.50/x
  3. Step 3: Cross multiply
    46,287.70x = 69,435.18 × 13,010.50
  4. Step 4: Simplify right side
    46,287.70x = 903,386,409.39
  5. Step 5: Solve for x
    x = 903,386,409.39/46,287.70
  6. Step 6: Final answer
    x = 19,516.77

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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.