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Finding the Fourth Proportional to 64,753.34, 97,130.02 and 31,444.86

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Solution

The fourth proportional to 64,753.34, 97,130.02 and 31,444.86 is: 47,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,753.34 : 97,130.02 = 31,444.86 : x
  2. Step 2: Convert to fraction form
    64,753.34/97,130.02 = 31,444.86/x
  3. Step 3: Cross multiply
    64,753.34x = 97,130.02 × 31,444.86
  4. Step 4: Simplify right side
    64,753.34x = 3,054,239,802.09
  5. Step 5: Solve for x
    x = 3,054,239,802.09/64,753.34
  6. Step 6: Final answer
    x = 47,167.29

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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.