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Finding the Fourth Proportional to 42,702.80, 64,054.20 and 32,334.80

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Solution

The fourth proportional to 42,702.80, 64,054.20 and 32,334.80 is: 48,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.80 : 64,054.20 = 32,334.80 : x
  2. Step 2: Convert to fraction form
    42,702.80/64,054.20 = 32,334.80/x
  3. Step 3: Cross multiply
    42,702.80x = 64,054.20 × 32,334.80
  4. Step 4: Simplify right side
    42,702.80x = 2,071,179,746.16
  5. Step 5: Solve for x
    x = 2,071,179,746.16/42,702.80
  6. Step 6: Final answer
    x = 48,502.20

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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.