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Finding the Fourth Proportional to 65,313.80, 97,905.90 and 32,006.60

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Solution

The fourth proportional to 65,313.80, 97,905.90 and 32,006.60 is: 47,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313.80 : 97,905.90 = 32,006.60 : x
  2. Step 2: Convert to fraction form
    65,313.80/97,905.90 = 32,006.60/x
  3. Step 3: Cross multiply
    65,313.80x = 97,905.90 × 32,006.60
  4. Step 4: Simplify right side
    65,313.80x = 3,133,634,978.94
  5. Step 5: Solve for x
    x = 3,133,634,978.94/65,313.80
  6. Step 6: Final answer
    x = 47,978.15

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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.