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Finding the Fourth Proportional to 91,792.32, 137,702.16 and 32,623.20

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Solution

The fourth proportional to 91,792.32, 137,702.16 and 32,623.20 is: 48,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,792.32 : 137,702.16 = 32,623.20 : x
  2. Step 2: Convert to fraction form
    91,792.32/137,702.16 = 32,623.20/x
  3. Step 3: Cross multiply
    91,792.32x = 137,702.16 × 32,623.20
  4. Step 4: Simplify right side
    91,792.32x = 4,492,285,106.11
  5. Step 5: Solve for x
    x = 4,492,285,106.11/91,792.32
  6. Step 6: Final answer
    x = 48,939.66

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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.