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Finding the Fourth Proportional to 46,022, 63,510.74 and 25,878.71

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Solution

The fourth proportional to 46,022, 63,510.74 and 25,878.71 is: 35,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022 : 63,510.74 = 25,878.71 : x
  2. Step 2: Convert to fraction form
    46,022/63,510.74 = 25,878.71/x
  3. Step 3: Cross multiply
    46,022x = 63,510.74 × 25,878.71
  4. Step 4: Simplify right side
    46,022x = 1,643,575,575.40
  5. Step 5: Solve for x
    x = 1,643,575,575.40/46,022
  6. Step 6: Final answer
    x = 35,712.82

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