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Finding the Fourth Proportional to 108,907.84, 163,258.08 and 34,984

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Solution

The fourth proportional to 108,907.84, 163,258.08 and 34,984 is: 52,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,907.84 : 163,258.08 = 34,984 : x
  2. Step 2: Convert to fraction form
    108,907.84/163,258.08 = 34,984/x
  3. Step 3: Cross multiply
    108,907.84x = 163,258.08 × 34,984
  4. Step 4: Simplify right side
    108,907.84x = 5,711,420,670.72
  5. Step 5: Solve for x
    x = 5,711,420,670.72/108,907.84
  6. Step 6: Final answer
    x = 52,442.70

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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.