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Finding the Fourth Proportional to 30,673.86, 46,015.65 and 9,892.50

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Solution

The fourth proportional to 30,673.86, 46,015.65 and 9,892.50 is: 14,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.86 : 46,015.65 = 9,892.50 : x
  2. Step 2: Convert to fraction form
    30,673.86/46,015.65 = 9,892.50/x
  3. Step 3: Cross multiply
    30,673.86x = 46,015.65 × 9,892.50
  4. Step 4: Simplify right side
    30,673.86x = 455,209,817.63
  5. Step 5: Solve for x
    x = 455,209,817.63/30,673.86
  6. Step 6: Final answer
    x = 14,840.32

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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.