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Finding the Fourth Proportional to 74,430.52, 102,714.10 and 40,896.52

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Solution

The fourth proportional to 74,430.52, 102,714.10 and 40,896.52 is: 56,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,430.52 : 102,714.10 = 40,896.52 : x
  2. Step 2: Convert to fraction form
    74,430.52/102,714.10 = 40,896.52/x
  3. Step 3: Cross multiply
    74,430.52x = 102,714.10 × 40,896.52
  4. Step 4: Simplify right side
    74,430.52x = 4,200,649,244.93
  5. Step 5: Solve for x
    x = 4,200,649,244.93/74,430.52
  6. Step 6: Final answer
    x = 56,437.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.