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Finding the Fourth Proportional to 46,643.80, 69,965.70 and 42,707.20

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Solution

The fourth proportional to 46,643.80, 69,965.70 and 42,707.20 is: 64,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.80 : 69,965.70 = 42,707.20 : x
  2. Step 2: Convert to fraction form
    46,643.80/69,965.70 = 42,707.20/x
  3. Step 3: Cross multiply
    46,643.80x = 69,965.70 × 42,707.20
  4. Step 4: Simplify right side
    46,643.80x = 2,988,039,143.04
  5. Step 5: Solve for x
    x = 2,988,039,143.04/46,643.80
  6. Step 6: Final answer
    x = 64,060.80

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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.