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Finding the Fourth Proportional to 97,580.16, 134,658.72 and 64,044

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Solution

The fourth proportional to 97,580.16, 134,658.72 and 64,044 is: 88,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,580.16 : 134,658.72 = 64,044 : x
  2. Step 2: Convert to fraction form
    97,580.16/134,658.72 = 64,044/x
  3. Step 3: Cross multiply
    97,580.16x = 134,658.72 × 64,044
  4. Step 4: Simplify right side
    97,580.16x = 8,624,083,063.68
  5. Step 5: Solve for x
    x = 8,624,083,063.68/97,580.16
  6. Step 6: Final answer
    x = 88,379.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.