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Finding the Fourth Proportional to 64,937.82, 97,328.35 and 31,607.94

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Solution

The fourth proportional to 64,937.82, 97,328.35 and 31,607.94 is: 47,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937.82 : 97,328.35 = 31,607.94 : x
  2. Step 2: Convert to fraction form
    64,937.82/97,328.35 = 31,607.94/x
  3. Step 3: Cross multiply
    64,937.82x = 97,328.35 × 31,607.94
  4. Step 4: Simplify right side
    64,937.82x = 3,076,348,647.10
  5. Step 5: Solve for x
    x = 3,076,348,647.10/64,937.82
  6. Step 6: Final answer
    x = 47,373.76

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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.