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Finding the Fourth Proportional to 47,424, 65,446.02 and 30,686.16

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Solution

The fourth proportional to 47,424, 65,446.02 and 30,686.16 is: 42,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424 : 65,446.02 = 30,686.16 : x
  2. Step 2: Convert to fraction form
    47,424/65,446.02 = 30,686.16/x
  3. Step 3: Cross multiply
    47,424x = 65,446.02 × 30,686.16
  4. Step 4: Simplify right side
    47,424x = 2,008,287,041.08
  5. Step 5: Solve for x
    x = 2,008,287,041.08/47,424
  6. Step 6: Final answer
    x = 42,347.48

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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.