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Finding the Fourth Proportional to 46,594.65, 69,890.46 and 13,314.69

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Solution

The fourth proportional to 46,594.65, 69,890.46 and 13,314.69 is: 19,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,594.65 : 69,890.46 = 13,314.69 : x
  2. Step 2: Convert to fraction form
    46,594.65/69,890.46 = 13,314.69/x
  3. Step 3: Cross multiply
    46,594.65x = 69,890.46 × 13,314.69
  4. Step 4: Simplify right side
    46,594.65x = 930,569,808.86
  5. Step 5: Solve for x
    x = 930,569,808.86/46,594.65
  6. Step 6: Final answer
    x = 19,971.60

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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.