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Finding the Fourth Proportional to 127,670.48, 191,518.80 and 48,851

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Solution

The fourth proportional to 127,670.48, 191,518.80 and 48,851 is: 73,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,670.48 : 191,518.80 = 48,851 : x
  2. Step 2: Convert to fraction form
    127,670.48/191,518.80 = 48,851/x
  3. Step 3: Cross multiply
    127,670.48x = 191,518.80 × 48,851
  4. Step 4: Simplify right side
    127,670.48x = 9,355,884,898.80
  5. Step 5: Solve for x
    x = 9,355,884,898.80/127,670.48
  6. Step 6: Final answer
    x = 73,281.50

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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.