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Finding the Fourth Proportional to 78,362, 117,542.76 and 28,442.04

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Solution

The fourth proportional to 78,362, 117,542.76 and 28,442.04 is: 42,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362 : 117,542.76 = 28,442.04 : x
  2. Step 2: Convert to fraction form
    78,362/117,542.76 = 28,442.04/x
  3. Step 3: Cross multiply
    78,362x = 117,542.76 × 28,442.04
  4. Step 4: Simplify right side
    78,362x = 3,343,155,881.63
  5. Step 5: Solve for x
    x = 3,343,155,881.63/78,362
  6. Step 6: Final answer
    x = 42,662.97

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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.