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Finding the Fourth Proportional to 46,851.66, 70,287.84 and 21,878.10

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Solution

The fourth proportional to 46,851.66, 70,287.84 and 21,878.10 is: 32,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,851.66 : 70,287.84 = 21,878.10 : x
  2. Step 2: Convert to fraction form
    46,851.66/70,287.84 = 21,878.10/x
  3. Step 3: Cross multiply
    46,851.66x = 70,287.84 × 21,878.10
  4. Step 4: Simplify right side
    46,851.66x = 1,537,764,392.30
  5. Step 5: Solve for x
    x = 1,537,764,392.30/46,851.66
  6. Step 6: Final answer
    x = 32,821.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.