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Finding the Fourth Proportional to 65,383.20, 97,815.60 and 56,714.40

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Solution

The fourth proportional to 65,383.20, 97,815.60 and 56,714.40 is: 84,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.20 : 97,815.60 = 56,714.40 : x
  2. Step 2: Convert to fraction form
    65,383.20/97,815.60 = 56,714.40/x
  3. Step 3: Cross multiply
    65,383.20x = 97,815.60 × 56,714.40
  4. Step 4: Simplify right side
    65,383.20x = 5,547,553,064.64
  5. Step 5: Solve for x
    x = 5,547,553,064.64/65,383.20
  6. Step 6: Final answer
    x = 84,846.77

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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.