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Finding the Fourth Proportional to 53,165.60, 79,762.05 and 15,724.16

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Solution

The fourth proportional to 53,165.60, 79,762.05 and 15,724.16 is: 23,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,165.60 : 79,762.05 = 15,724.16 : x
  2. Step 2: Convert to fraction form
    53,165.60/79,762.05 = 15,724.16/x
  3. Step 3: Cross multiply
    53,165.60x = 79,762.05 × 15,724.16
  4. Step 4: Simplify right side
    53,165.60x = 1,254,190,837.32
  5. Step 5: Solve for x
    x = 1,254,190,837.32/53,165.60
  6. Step 6: Final answer
    x = 23,590.27

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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.