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Finding the Fourth Proportional to 94,543.68, 141,840.12 and 35,384

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Solution

The fourth proportional to 94,543.68, 141,840.12 and 35,384 is: 53,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,543.68 : 141,840.12 = 35,384 : x
  2. Step 2: Convert to fraction form
    94,543.68/141,840.12 = 35,384/x
  3. Step 3: Cross multiply
    94,543.68x = 141,840.12 × 35,384
  4. Step 4: Simplify right side
    94,543.68x = 5,018,870,806.08
  5. Step 5: Solve for x
    x = 5,018,870,806.08/94,543.68
  6. Step 6: Final answer
    x = 53,085.21

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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.