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Finding the Fourth Proportional to 46,041.42, 68,726 and 39,509.58

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Solution

The fourth proportional to 46,041.42, 68,726 and 39,509.58 is: 58,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,041.42 : 68,726 = 39,509.58 : x
  2. Step 2: Convert to fraction form
    46,041.42/68,726 = 39,509.58/x
  3. Step 3: Cross multiply
    46,041.42x = 68,726 × 39,509.58
  4. Step 4: Simplify right side
    46,041.42x = 2,715,335,395.08
  5. Step 5: Solve for x
    x = 2,715,335,395.08/46,041.42
  6. Step 6: Final answer
    x = 58,975.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.