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Finding the Fourth Proportional to 127,672.48, 191,521.80 and 48,853

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Solution

The fourth proportional to 127,672.48, 191,521.80 and 48,853 is: 73,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,672.48 : 191,521.80 = 48,853 : x
  2. Step 2: Convert to fraction form
    127,672.48/191,521.80 = 48,853/x
  3. Step 3: Cross multiply
    127,672.48x = 191,521.80 × 48,853
  4. Step 4: Simplify right side
    127,672.48x = 9,356,414,495.40
  5. Step 5: Solve for x
    x = 9,356,414,495.40/127,672.48
  6. Step 6: Final answer
    x = 73,284.50

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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.