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Finding the Fourth Proportional to 76,571.84, 105,678.60 and 46,358.30

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Solution

The fourth proportional to 76,571.84, 105,678.60 and 46,358.30 is: 63,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,571.84 : 105,678.60 = 46,358.30 : x
  2. Step 2: Convert to fraction form
    76,571.84/105,678.60 = 46,358.30/x
  3. Step 3: Cross multiply
    76,571.84x = 105,678.60 × 46,358.30
  4. Step 4: Simplify right side
    76,571.84x = 4,899,080,242.38
  5. Step 5: Solve for x
    x = 4,899,080,242.38/76,571.84
  6. Step 6: Final answer
    x = 63,980.18

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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.