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Finding the Fourth Proportional to 64,951.70, 97,233.15 and 61,106.90

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Solution

The fourth proportional to 64,951.70, 97,233.15 and 61,106.90 is: 91,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951.70 : 97,233.15 = 61,106.90 : x
  2. Step 2: Convert to fraction form
    64,951.70/97,233.15 = 61,106.90/x
  3. Step 3: Cross multiply
    64,951.70x = 97,233.15 × 61,106.90
  4. Step 4: Simplify right side
    64,951.70x = 5,941,616,373.74
  5. Step 5: Solve for x
    x = 5,941,616,373.74/64,951.70
  6. Step 6: Final answer
    x = 91,477.46

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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.