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Finding the Fourth Proportional to 46,973.80, 64,823.70 and 25,753

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Solution

The fourth proportional to 46,973.80, 64,823.70 and 25,753 is: 35,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,973.80 : 64,823.70 = 25,753 : x
  2. Step 2: Convert to fraction form
    46,973.80/64,823.70 = 25,753/x
  3. Step 3: Cross multiply
    46,973.80x = 64,823.70 × 25,753
  4. Step 4: Simplify right side
    46,973.80x = 1,669,404,746.10
  5. Step 5: Solve for x
    x = 1,669,404,746.10/46,973.80
  6. Step 6: Final answer
    x = 35,539.06

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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.