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Finding the Fourth Proportional to 32,951.40, 49,430.70 and 31,914.60

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Solution

The fourth proportional to 32,951.40, 49,430.70 and 31,914.60 is: 47,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.40 : 49,430.70 = 31,914.60 : x
  2. Step 2: Convert to fraction form
    32,951.40/49,430.70 = 31,914.60/x
  3. Step 3: Cross multiply
    32,951.40x = 49,430.70 × 31,914.60
  4. Step 4: Simplify right side
    32,951.40x = 1,577,561,018.22
  5. Step 5: Solve for x
    x = 1,577,561,018.22/32,951.40
  6. Step 6: Final answer
    x = 47,875.39

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1.5x scale

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.