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Finding the Fourth Proportional to 48,842, 67,412.04 and 27,622.16

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Solution

The fourth proportional to 48,842, 67,412.04 and 27,622.16 is: 38,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,842 : 67,412.04 = 27,622.16 : x
  2. Step 2: Convert to fraction form
    48,842/67,412.04 = 27,622.16/x
  3. Step 3: Cross multiply
    48,842x = 67,412.04 × 27,622.16
  4. Step 4: Simplify right side
    48,842x = 1,862,066,154.81
  5. Step 5: Solve for x
    x = 1,862,066,154.81/48,842
  6. Step 6: Final answer
    x = 38,124.28

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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.