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Finding the Fourth Proportional to 101,477.17, 152,197.93 and 31,357.09

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Solution

The fourth proportional to 101,477.17, 152,197.93 and 31,357.09 is: 47,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,477.17 : 152,197.93 = 31,357.09 : x
  2. Step 2: Convert to fraction form
    101,477.17/152,197.93 = 31,357.09/x
  3. Step 3: Cross multiply
    101,477.17x = 152,197.93 × 31,357.09
  4. Step 4: Simplify right side
    101,477.17x = 4,772,484,188.82
  5. Step 5: Solve for x
    x = 4,772,484,188.82/101,477.17
  6. Step 6: Final answer
    x = 47,030.13

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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.