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Finding the Fourth Proportional to 70,206.66, 96,811.56 and 46,302.84

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Solution

The fourth proportional to 70,206.66, 96,811.56 and 46,302.84 is: 63,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206.66 : 96,811.56 = 46,302.84 : x
  2. Step 2: Convert to fraction form
    70,206.66/96,811.56 = 46,302.84/x
  3. Step 3: Cross multiply
    70,206.66x = 96,811.56 × 46,302.84
  4. Step 4: Simplify right side
    70,206.66x = 4,482,650,172.83
  5. Step 5: Solve for x
    x = 4,482,650,172.83/70,206.66
  6. Step 6: Final answer
    x = 63,849.36

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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.