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Finding the Fourth Proportional to 73,259.51, 109,803.14 and 31,113.28

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Solution

The fourth proportional to 73,259.51, 109,803.14 and 31,113.28 is: 46,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,259.51 : 109,803.14 = 31,113.28 : x
  2. Step 2: Convert to fraction form
    73,259.51/109,803.14 = 31,113.28/x
  3. Step 3: Cross multiply
    73,259.51x = 109,803.14 × 31,113.28
  4. Step 4: Simplify right side
    73,259.51x = 3,416,336,113.07
  5. Step 5: Solve for x
    x = 3,416,336,113.07/73,259.51
  6. Step 6: Final answer
    x = 46,633.35

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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.