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Finding the Fourth Proportional to 70,784.58, 97,642.09 and 44,242.50

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Solution

The fourth proportional to 70,784.58, 97,642.09 and 44,242.50 is: 61,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.58 : 97,642.09 = 44,242.50 : x
  2. Step 2: Convert to fraction form
    70,784.58/97,642.09 = 44,242.50/x
  3. Step 3: Cross multiply
    70,784.58x = 97,642.09 × 44,242.50
  4. Step 4: Simplify right side
    70,784.58x = 4,319,930,166.83
  5. Step 5: Solve for x
    x = 4,319,930,166.83/70,784.58
  6. Step 6: Final answer
    x = 61,029.25

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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.