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Finding the Fourth Proportional to 86,624, 119,541.12 and 46,880

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Solution

The fourth proportional to 86,624, 119,541.12 and 46,880 is: 64,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,624 : 119,541.12 = 46,880 : x
  2. Step 2: Convert to fraction form
    86,624/119,541.12 = 46,880/x
  3. Step 3: Cross multiply
    86,624x = 119,541.12 × 46,880
  4. Step 4: Simplify right side
    86,624x = 5,604,087,705.60
  5. Step 5: Solve for x
    x = 5,604,087,705.60/86,624
  6. Step 6: Final answer
    x = 64,694.40

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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.