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Finding the Fourth Proportional to 101,307.51, 151,957.62 and 31,185

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Solution

The fourth proportional to 101,307.51, 151,957.62 and 31,185 is: 46,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,307.51 : 151,957.62 = 31,185 : x
  2. Step 2: Convert to fraction form
    101,307.51/151,957.62 = 31,185/x
  3. Step 3: Cross multiply
    101,307.51x = 151,957.62 × 31,185
  4. Step 4: Simplify right side
    101,307.51x = 4,738,798,379.70
  5. Step 5: Solve for x
    x = 4,738,798,379.70/101,307.51
  6. Step 6: Final answer
    x = 46,776.38

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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.