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Finding the Fourth Proportional to 83,065.26, 114,619.35 and 46,762.11

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Solution

The fourth proportional to 83,065.26, 114,619.35 and 46,762.11 is: 64,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.26 : 114,619.35 = 46,762.11 : x
  2. Step 2: Convert to fraction form
    83,065.26/114,619.35 = 46,762.11/x
  3. Step 3: Cross multiply
    83,065.26x = 114,619.35 × 46,762.11
  4. Step 4: Simplify right side
    83,065.26x = 5,359,842,652.83
  5. Step 5: Solve for x
    x = 5,359,842,652.83/83,065.26
  6. Step 6: Final answer
    x = 64,525.68

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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.