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Finding the Fourth Proportional to 108,106.76, 162,160.14 and 34,229

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Solution

The fourth proportional to 108,106.76, 162,160.14 and 34,229 is: 51,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,106.76 : 162,160.14 = 34,229 : x
  2. Step 2: Convert to fraction form
    108,106.76/162,160.14 = 34,229/x
  3. Step 3: Cross multiply
    108,106.76x = 162,160.14 × 34,229
  4. Step 4: Simplify right side
    108,106.76x = 5,550,579,432.06
  5. Step 5: Solve for x
    x = 5,550,579,432.06/108,106.76
  6. Step 6: Final answer
    x = 51,343.50

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1.5x scale

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.