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Finding the Fourth Proportional to 98,538.35, 147,827.00 and 35,341.57

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Solution

The fourth proportional to 98,538.35, 147,827.00 and 35,341.57 is: 53,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538.35 : 147,827.00 = 35,341.57 : x
  2. Step 2: Convert to fraction form
    98,538.35/147,827.00 = 35,341.57/x
  3. Step 3: Cross multiply
    98,538.35x = 147,827.00 × 35,341.57
  4. Step 4: Simplify right side
    98,538.35x = 5,224,437,722.11
  5. Step 5: Solve for x
    x = 5,224,437,722.11/98,538.35
  6. Step 6: Final answer
    x = 53,019.34

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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.