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Finding the Fourth Proportional to 37,640.40, 56,460.60 and 23,643.60

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Solution

The fourth proportional to 37,640.40, 56,460.60 and 23,643.60 is: 35,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.40 : 56,460.60 = 23,643.60 : x
  2. Step 2: Convert to fraction form
    37,640.40/56,460.60 = 23,643.60/x
  3. Step 3: Cross multiply
    37,640.40x = 56,460.60 × 23,643.60
  4. Step 4: Simplify right side
    37,640.40x = 1,334,931,842.16
  5. Step 5: Solve for x
    x = 1,334,931,842.16/37,640.40
  6. Step 6: Final answer
    x = 35,465.40

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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.