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Finding the Fourth Proportional to 51,362.40, 77,043.60 and 23,271.60

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Solution

The fourth proportional to 51,362.40, 77,043.60 and 23,271.60 is: 34,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,362.40 : 77,043.60 = 23,271.60 : x
  2. Step 2: Convert to fraction form
    51,362.40/77,043.60 = 23,271.60/x
  3. Step 3: Cross multiply
    51,362.40x = 77,043.60 × 23,271.60
  4. Step 4: Simplify right side
    51,362.40x = 1,792,927,841.76
  5. Step 5: Solve for x
    x = 1,792,927,841.76/51,362.40
  6. Step 6: Final answer
    x = 34,907.40

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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.