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Finding the Fourth Proportional to 97,809.93, 146,714.90 and 51,051.87

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Solution

The fourth proportional to 97,809.93, 146,714.90 and 51,051.87 is: 76,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,809.93 : 146,714.90 = 51,051.87 : x
  2. Step 2: Convert to fraction form
    97,809.93/146,714.90 = 51,051.87/x
  3. Step 3: Cross multiply
    97,809.93x = 146,714.90 × 51,051.87
  4. Step 4: Simplify right side
    97,809.93x = 7,490,069,746.60
  5. Step 5: Solve for x
    x = 7,490,069,746.60/97,809.93
  6. Step 6: Final answer
    x = 76,577.81

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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.