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Finding the Fourth Proportional to 46,482.84, 64,165.95 and 31,395.96

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Solution

The fourth proportional to 46,482.84, 64,165.95 and 31,395.96 is: 43,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482.84 : 64,165.95 = 31,395.96 : x
  2. Step 2: Convert to fraction form
    46,482.84/64,165.95 = 31,395.96/x
  3. Step 3: Cross multiply
    46,482.84x = 64,165.95 × 31,395.96
  4. Step 4: Simplify right side
    46,482.84x = 2,014,551,599.56
  5. Step 5: Solve for x
    x = 2,014,551,599.56/46,482.84
  6. Step 6: Final answer
    x = 43,339.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.