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Finding the Fourth Proportional to 82,509, 113,852.95 and 46,205.38

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Solution

The fourth proportional to 82,509, 113,852.95 and 46,205.38 is: 63,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509 : 113,852.95 = 46,205.38 : x
  2. Step 2: Convert to fraction form
    82,509/113,852.95 = 46,205.38/x
  3. Step 3: Cross multiply
    82,509x = 113,852.95 × 46,205.38
  4. Step 4: Simplify right side
    82,509x = 5,260,618,818.87
  5. Step 5: Solve for x
    x = 5,260,618,818.87/82,509
  6. Step 6: Final answer
    x = 63,758.12

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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.