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Finding the Fourth Proportional to 35,627.92, 53,445.04 and 9,332.56

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Solution

The fourth proportional to 35,627.92, 53,445.04 and 9,332.56 is: 13,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,627.92 : 53,445.04 = 9,332.56 : x
  2. Step 2: Convert to fraction form
    35,627.92/53,445.04 = 9,332.56/x
  3. Step 3: Cross multiply
    35,627.92x = 53,445.04 × 9,332.56
  4. Step 4: Simplify right side
    35,627.92x = 498,779,042.50
  5. Step 5: Solve for x
    x = 498,779,042.50/35,627.92
  6. Step 6: Final answer
    x = 13,999.67

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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.