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Finding the Fourth Proportional to 108,038.84, 161,947.50 and 41,461.10

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Solution

The fourth proportional to 108,038.84, 161,947.50 and 41,461.10 is: 62,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,038.84 : 161,947.50 = 41,461.10 : x
  2. Step 2: Convert to fraction form
    108,038.84/161,947.50 = 41,461.10/x
  3. Step 3: Cross multiply
    108,038.84x = 161,947.50 × 41,461.10
  4. Step 4: Simplify right side
    108,038.84x = 6,714,521,492.25
  5. Step 5: Solve for x
    x = 6,714,521,492.25/108,038.84
  6. Step 6: Final answer
    x = 62,149.14

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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.