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Finding the Fourth Proportional to 64,323.56, 96,518.14 and 31,071.98

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Solution

The fourth proportional to 64,323.56, 96,518.14 and 31,071.98 is: 46,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,323.56 : 96,518.14 = 31,071.98 : x
  2. Step 2: Convert to fraction form
    64,323.56/96,518.14 = 31,071.98/x
  3. Step 3: Cross multiply
    64,323.56x = 96,518.14 × 31,071.98
  4. Step 4: Simplify right side
    64,323.56x = 2,999,009,715.72
  5. Step 5: Solve for x
    x = 2,999,009,715.72/64,323.56
  6. Step 6: Final answer
    x = 46,623.81

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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.