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Finding the Fourth Proportional to 60,032.74, 82,841.06 and 33,175

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Solution

The fourth proportional to 60,032.74, 82,841.06 and 33,175 is: 45,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,032.74 : 82,841.06 = 33,175 : x
  2. Step 2: Convert to fraction form
    60,032.74/82,841.06 = 33,175/x
  3. Step 3: Cross multiply
    60,032.74x = 82,841.06 × 33,175
  4. Step 4: Simplify right side
    60,032.74x = 2,748,252,165.50
  5. Step 5: Solve for x
    x = 2,748,252,165.50/60,032.74
  6. Step 6: Final answer
    x = 45,779.22

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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.