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Finding the Fourth Proportional to 104,967.50, 157,477.90 and 31,095.50

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Solution

The fourth proportional to 104,967.50, 157,477.90 and 31,095.50 is: 46,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,967.50 : 157,477.90 = 31,095.50 : x
  2. Step 2: Convert to fraction form
    104,967.50/157,477.90 = 31,095.50/x
  3. Step 3: Cross multiply
    104,967.50x = 157,477.90 × 31,095.50
  4. Step 4: Simplify right side
    104,967.50x = 4,896,854,039.45
  5. Step 5: Solve for x
    x = 4,896,854,039.45/104,967.50
  6. Step 6: Final answer
    x = 46,651.14

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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.