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Finding the Fourth Proportional to 82,698.76, 124,014.74 and 32,071.13

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Solution

The fourth proportional to 82,698.76, 124,014.74 and 32,071.13 is: 48,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,698.76 : 124,014.74 = 32,071.13 : x
  2. Step 2: Convert to fraction form
    82,698.76/124,014.74 = 32,071.13/x
  3. Step 3: Cross multiply
    82,698.76x = 124,014.74 × 32,071.13
  4. Step 4: Simplify right side
    82,698.76x = 3,977,292,848.46
  5. Step 5: Solve for x
    x = 3,977,292,848.46/82,698.76
  6. Step 6: Final answer
    x = 48,093.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.