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Finding the Fourth Proportional to 70,784.08, 97,641.40 and 44,242

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Solution

The fourth proportional to 70,784.08, 97,641.40 and 44,242 is: 61,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.08 : 97,641.40 = 44,242 : x
  2. Step 2: Convert to fraction form
    70,784.08/97,641.40 = 44,242/x
  3. Step 3: Cross multiply
    70,784.08x = 97,641.40 × 44,242
  4. Step 4: Simplify right side
    70,784.08x = 4,319,850,818.80
  5. Step 5: Solve for x
    x = 4,319,850,818.80/70,784.08
  6. Step 6: Final answer
    x = 61,028.56

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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.