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Finding the Fourth Proportional to 30,667.86, 46,006.65 and 9,886.50

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Solution

The fourth proportional to 30,667.86, 46,006.65 and 9,886.50 is: 14,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.86 : 46,006.65 = 9,886.50 : x
  2. Step 2: Convert to fraction form
    30,667.86/46,006.65 = 9,886.50/x
  3. Step 3: Cross multiply
    30,667.86x = 46,006.65 × 9,886.50
  4. Step 4: Simplify right side
    30,667.86x = 454,844,745.23
  5. Step 5: Solve for x
    x = 454,844,745.23/30,667.86
  6. Step 6: Final answer
    x = 14,831.32

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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.