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Finding the Fourth Proportional to 84,338, 116,384.88 and 46,611.44

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Solution

The fourth proportional to 84,338, 116,384.88 and 46,611.44 is: 64,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,338 : 116,384.88 = 46,611.44 : x
  2. Step 2: Convert to fraction form
    84,338/116,384.88 = 46,611.44/x
  3. Step 3: Cross multiply
    84,338x = 116,384.88 × 46,611.44
  4. Step 4: Simplify right side
    84,338x = 5,424,866,851.03
  5. Step 5: Solve for x
    x = 5,424,866,851.03/84,338
  6. Step 6: Final answer
    x = 64,322.93

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1.5x scale

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.