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Finding the Fourth Proportional to 108,083.64, 162,106.56 and 48,905.40

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Solution

The fourth proportional to 108,083.64, 162,106.56 and 48,905.40 is: 73,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,083.64 : 162,106.56 = 48,905.40 : x
  2. Step 2: Convert to fraction form
    108,083.64/162,106.56 = 48,905.40/x
  3. Step 3: Cross multiply
    108,083.64x = 162,106.56 × 48,905.40
  4. Step 4: Simplify right side
    108,083.64x = 7,927,886,159.42
  5. Step 5: Solve for x
    x = 7,927,886,159.42/108,083.64
  6. Step 6: Final answer
    x = 73,349.55

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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.