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Finding the Fourth Proportional to 70,657.76, 105,989.88 and 49,973.60

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Solution

The fourth proportional to 70,657.76, 105,989.88 and 49,973.60 is: 74,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.76 : 105,989.88 = 49,973.60 : x
  2. Step 2: Convert to fraction form
    70,657.76/105,989.88 = 49,973.60/x
  3. Step 3: Cross multiply
    70,657.76x = 105,989.88 × 49,973.60
  4. Step 4: Simplify right side
    70,657.76x = 5,296,695,867.17
  5. Step 5: Solve for x
    x = 5,296,695,867.17/70,657.76
  6. Step 6: Final answer
    x = 74,962.69

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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.