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Finding the Fourth Proportional to 109,574.64, 164,384.10 and 46,394.64

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Solution

The fourth proportional to 109,574.64, 164,384.10 and 46,394.64 is: 69,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,574.64 : 164,384.10 = 46,394.64 : x
  2. Step 2: Convert to fraction form
    109,574.64/164,384.10 = 46,394.64/x
  3. Step 3: Cross multiply
    109,574.64x = 164,384.10 × 46,394.64
  4. Step 4: Simplify right side
    109,574.64x = 7,626,541,141.22
  5. Step 5: Solve for x
    x = 7,626,541,141.22/109,574.64
  6. Step 6: Final answer
    x = 69,601.33

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1.5x scale

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.