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Finding the Fourth Proportional to 56,541.60, 84,812.40 and 35,546.40

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Solution

The fourth proportional to 56,541.60, 84,812.40 and 35,546.40 is: 53,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,541.60 : 84,812.40 = 35,546.40 : x
  2. Step 2: Convert to fraction form
    56,541.60/84,812.40 = 35,546.40/x
  3. Step 3: Cross multiply
    56,541.60x = 84,812.40 × 35,546.40
  4. Step 4: Simplify right side
    56,541.60x = 3,014,775,495.36
  5. Step 5: Solve for x
    x = 3,014,775,495.36/56,541.60
  6. Step 6: Final answer
    x = 53,319.60

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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.