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Finding the Fourth Proportional to 47,271.20, 65,222.48 and 30,484

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Solution

The fourth proportional to 47,271.20, 65,222.48 and 30,484 is: 42,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,271.20 : 65,222.48 = 30,484 : x
  2. Step 2: Convert to fraction form
    47,271.20/65,222.48 = 30,484/x
  3. Step 3: Cross multiply
    47,271.20x = 65,222.48 × 30,484
  4. Step 4: Simplify right side
    47,271.20x = 1,988,242,080.32
  5. Step 5: Solve for x
    x = 1,988,242,080.32/47,271.20
  6. Step 6: Final answer
    x = 42,060.33

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