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Finding the Fourth Proportional to 56,740.48, 84,962.24 and 47,832.32

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Solution

The fourth proportional to 56,740.48, 84,962.24 and 47,832.32 is: 71,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,740.48 : 84,962.24 = 47,832.32 : x
  2. Step 2: Convert to fraction form
    56,740.48/84,962.24 = 47,832.32/x
  3. Step 3: Cross multiply
    56,740.48x = 84,962.24 × 47,832.32
  4. Step 4: Simplify right side
    56,740.48x = 4,063,941,051.60
  5. Step 5: Solve for x
    x = 4,063,941,051.60/56,740.48
  6. Step 6: Final answer
    x = 71,623.31

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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.