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Finding the Fourth Proportional to 127,582.56, 191,296.88 and 48,702.56

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Solution

The fourth proportional to 127,582.56, 191,296.88 and 48,702.56 is: 73,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,582.56 : 191,296.88 = 48,702.56 : x
  2. Step 2: Convert to fraction form
    127,582.56/191,296.88 = 48,702.56/x
  3. Step 3: Cross multiply
    127,582.56x = 191,296.88 × 48,702.56
  4. Step 4: Simplify right side
    127,582.56x = 9,316,647,776.01
  5. Step 5: Solve for x
    x = 9,316,647,776.01/127,582.56
  6. Step 6: Final answer
    x = 73,024.46

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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.