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Finding the Fourth Proportional to 127,802.20, 191,702.34 and 33,024.28

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Solution

The fourth proportional to 127,802.20, 191,702.34 and 33,024.28 is: 49,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,802.20 : 191,702.34 = 33,024.28 : x
  2. Step 2: Convert to fraction form
    127,802.20/191,702.34 = 33,024.28/x
  3. Step 3: Cross multiply
    127,802.20x = 191,702.34 × 33,024.28
  4. Step 4: Simplify right side
    127,802.20x = 6,330,831,752.82
  5. Step 5: Solve for x
    x = 6,330,831,752.82/127,802.20
  6. Step 6: Final answer
    x = 49,536.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.