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Finding the Fourth Proportional to 98,501.86, 147,767.37 and 36,167.50

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Solution

The fourth proportional to 98,501.86, 147,767.37 and 36,167.50 is: 54,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,501.86 : 147,767.37 = 36,167.50 : x
  2. Step 2: Convert to fraction form
    98,501.86/147,767.37 = 36,167.50/x
  3. Step 3: Cross multiply
    98,501.86x = 147,767.37 × 36,167.50
  4. Step 4: Simplify right side
    98,501.86x = 5,344,376,354.48
  5. Step 5: Solve for x
    x = 5,344,376,354.48/98,501.86
  6. Step 6: Final answer
    x = 54,256.60

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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.