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Finding the Fourth Proportional to 56,643.70, 84,965.55 and 19,707.70

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Solution

The fourth proportional to 56,643.70, 84,965.55 and 19,707.70 is: 29,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643.70 : 84,965.55 = 19,707.70 : x
  2. Step 2: Convert to fraction form
    56,643.70/84,965.55 = 19,707.70/x
  3. Step 3: Cross multiply
    56,643.70x = 84,965.55 × 19,707.70
  4. Step 4: Simplify right side
    56,643.70x = 1,674,475,569.74
  5. Step 5: Solve for x
    x = 1,674,475,569.74/56,643.70
  6. Step 6: Final answer
    x = 29,561.55

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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.