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Finding the Fourth Proportional to 30,898.50, 45,950.27 and 29,914.34

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Solution

The fourth proportional to 30,898.50, 45,950.27 and 29,914.34 is: 44,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.50 : 45,950.27 = 29,914.34 : x
  2. Step 2: Convert to fraction form
    30,898.50/45,950.27 = 29,914.34/x
  3. Step 3: Cross multiply
    30,898.50x = 45,950.27 × 29,914.34
  4. Step 4: Simplify right side
    30,898.50x = 1,374,571,999.87
  5. Step 5: Solve for x
    x = 1,374,571,999.87/30,898.50
  6. Step 6: Final answer
    x = 44,486.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.