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Finding the Fourth Proportional to 82,520, 113,892 and 48,985.28

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Solution

The fourth proportional to 82,520, 113,892 and 48,985.28 is: 67,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,520 : 113,892 = 48,985.28 : x
  2. Step 2: Convert to fraction form
    82,520/113,892 = 48,985.28/x
  3. Step 3: Cross multiply
    82,520x = 113,892 × 48,985.28
  4. Step 4: Simplify right side
    82,520x = 5,579,031,509.76
  5. Step 5: Solve for x
    x = 5,579,031,509.76/82,520
  6. Step 6: Final answer
    x = 67,608.23

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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.