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Finding the Fourth Proportional to 47,148.42, 65,030.88 and 32,014.80

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Solution

The fourth proportional to 47,148.42, 65,030.88 and 32,014.80 is: 44,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.42 : 65,030.88 = 32,014.80 : x
  2. Step 2: Convert to fraction form
    47,148.42/65,030.88 = 32,014.80/x
  3. Step 3: Cross multiply
    47,148.42x = 65,030.88 × 32,014.80
  4. Step 4: Simplify right side
    47,148.42x = 2,081,950,617.02
  5. Step 5: Solve for x
    x = 2,081,950,617.02/47,148.42
  6. Step 6: Final answer
    x = 44,157.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.