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Finding the Fourth Proportional to 64,939.86, 97,387.92 and 52,430.22

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Solution

The fourth proportional to 64,939.86, 97,387.92 and 52,430.22 is: 78,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,939.86 : 97,387.92 = 52,430.22 : x
  2. Step 2: Convert to fraction form
    64,939.86/97,387.92 = 52,430.22/x
  3. Step 3: Cross multiply
    64,939.86x = 97,387.92 × 52,430.22
  4. Step 4: Simplify right side
    64,939.86x = 5,106,070,070.94
  5. Step 5: Solve for x
    x = 5,106,070,070.94/64,939.86
  6. Step 6: Final answer
    x = 78,627.67

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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.