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Finding the Fourth Proportional to 75,666.64, 113,600.48 and 64,644.16

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Solution

The fourth proportional to 75,666.64, 113,600.48 and 64,644.16 is: 97,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,666.64 : 113,600.48 = 64,644.16 : x
  2. Step 2: Convert to fraction form
    75,666.64/113,600.48 = 64,644.16/x
  3. Step 3: Cross multiply
    75,666.64x = 113,600.48 × 64,644.16
  4. Step 4: Simplify right side
    75,666.64x = 7,343,607,605.20
  5. Step 5: Solve for x
    x = 7,343,607,605.20/75,666.64
  6. Step 6: Final answer
    x = 97,052.12

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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.