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Finding the Fourth Proportional to 46,382, 64,007.16 and 26,513.84

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Solution

The fourth proportional to 46,382, 64,007.16 and 26,513.84 is: 36,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,382 : 64,007.16 = 26,513.84 : x
  2. Step 2: Convert to fraction form
    46,382/64,007.16 = 26,513.84/x
  3. Step 3: Cross multiply
    46,382x = 64,007.16 × 26,513.84
  4. Step 4: Simplify right side
    46,382x = 1,697,075,599.09
  5. Step 5: Solve for x
    x = 1,697,075,599.09/46,382
  6. Step 6: Final answer
    x = 36,589.10

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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.