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Finding the Fourth Proportional to 47,597.90, 65,663.96 and 30,598.99

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Solution

The fourth proportional to 47,597.90, 65,663.96 and 30,598.99 is: 42,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,597.90 : 65,663.96 = 30,598.99 : x
  2. Step 2: Convert to fraction form
    47,597.90/65,663.96 = 30,598.99/x
  3. Step 3: Cross multiply
    47,597.90x = 65,663.96 × 30,598.99
  4. Step 4: Simplify right side
    47,597.90x = 2,009,250,527.08
  5. Step 5: Solve for x
    x = 2,009,250,527.08/47,597.90
  6. Step 6: Final answer
    x = 42,213.01

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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.