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Finding the Fourth Proportional to 46,918.16, 70,403.16 and 19,214

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Solution

The fourth proportional to 46,918.16, 70,403.16 and 19,214 is: 28,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,918.16 : 70,403.16 = 19,214 : x
  2. Step 2: Convert to fraction form
    46,918.16/70,403.16 = 19,214/x
  3. Step 3: Cross multiply
    46,918.16x = 70,403.16 × 19,214
  4. Step 4: Simplify right side
    46,918.16x = 1,352,726,316.24
  5. Step 5: Solve for x
    x = 1,352,726,316.24/46,918.16
  6. Step 6: Final answer
    x = 28,831.61

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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.