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Finding the Fourth Proportional to 46,740, 64,498.80 and 25,515.24

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Solution

The fourth proportional to 46,740, 64,498.80 and 25,515.24 is: 35,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,740 : 64,498.80 = 25,515.24 : x
  2. Step 2: Convert to fraction form
    46,740/64,498.80 = 25,515.24/x
  3. Step 3: Cross multiply
    46,740x = 64,498.80 × 25,515.24
  4. Step 4: Simplify right side
    46,740x = 1,645,702,361.71
  5. Step 5: Solve for x
    x = 1,645,702,361.71/46,740
  6. Step 6: Final answer
    x = 35,209.72

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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.