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Finding the Fourth Proportional to 65,047.80, 97,607.64 and 31,768.08

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Solution

The fourth proportional to 65,047.80, 97,607.64 and 31,768.08 is: 47,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047.80 : 97,607.64 = 31,768.08 : x
  2. Step 2: Convert to fraction form
    65,047.80/97,607.64 = 31,768.08/x
  3. Step 3: Cross multiply
    65,047.80x = 97,607.64 × 31,768.08
  4. Step 4: Simplify right side
    65,047.80x = 3,100,807,316.13
  5. Step 5: Solve for x
    x = 3,100,807,316.13/65,047.80
  6. Step 6: Final answer
    x = 47,669.67

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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.