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Finding the Fourth Proportional to 70,787.16, 97,695.84 and 64,808.16

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Solution

The fourth proportional to 70,787.16, 97,695.84 and 64,808.16 is: 89,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,787.16 : 97,695.84 = 64,808.16 : x
  2. Step 2: Convert to fraction form
    70,787.16/97,695.84 = 64,808.16/x
  3. Step 3: Cross multiply
    70,787.16x = 97,695.84 × 64,808.16
  4. Step 4: Simplify right side
    70,787.16x = 6,331,487,630.05
  5. Step 5: Solve for x
    x = 6,331,487,630.05/70,787.16
  6. Step 6: Final answer
    x = 89,444.01

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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.