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Finding the Fourth Proportional to 70,795.80, 97,698.54 and 40,582.86

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Solution

The fourth proportional to 70,795.80, 97,698.54 and 40,582.86 is: 56,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,795.80 : 97,698.54 = 40,582.86 : x
  2. Step 2: Convert to fraction form
    70,795.80/97,698.54 = 40,582.86/x
  3. Step 3: Cross multiply
    70,795.80x = 97,698.54 × 40,582.86
  4. Step 4: Simplify right side
    70,795.80x = 3,964,886,171.02
  5. Step 5: Solve for x
    x = 3,964,886,171.02/70,795.80
  6. Step 6: Final answer
    x = 56,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.