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Finding the Fourth Proportional to 76,471.48, 105,527.23 and 42,482.26

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Solution

The fourth proportional to 76,471.48, 105,527.23 and 42,482.26 is: 58,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.48 : 105,527.23 = 42,482.26 : x
  2. Step 2: Convert to fraction form
    76,471.48/105,527.23 = 42,482.26/x
  3. Step 3: Cross multiply
    76,471.48x = 105,527.23 × 42,482.26
  4. Step 4: Simplify right side
    76,471.48x = 4,483,035,221.94
  5. Step 5: Solve for x
    x = 4,483,035,221.94/76,471.48
  6. Step 6: Final answer
    x = 58,623.62

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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.