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Finding the Fourth Proportional to 78,246.99, 107,964.23 and 46,426.23

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Solution

The fourth proportional to 78,246.99, 107,964.23 and 46,426.23 is: 64,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246.99 : 107,964.23 = 46,426.23 : x
  2. Step 2: Convert to fraction form
    78,246.99/107,964.23 = 46,426.23/x
  3. Step 3: Cross multiply
    78,246.99x = 107,964.23 × 46,426.23
  4. Step 4: Simplify right side
    78,246.99x = 5,012,371,941.62
  5. Step 5: Solve for x
    x = 5,012,371,941.62/78,246.99
  6. Step 6: Final answer
    x = 64,058.34

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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.