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Finding the Fourth Proportional to 69,582, 96,023.16 and 39,774

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Solution

The fourth proportional to 69,582, 96,023.16 and 39,774 is: 54,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,582 : 96,023.16 = 39,774 : x
  2. Step 2: Convert to fraction form
    69,582/96,023.16 = 39,774/x
  3. Step 3: Cross multiply
    69,582x = 96,023.16 × 39,774
  4. Step 4: Simplify right side
    69,582x = 3,819,225,165.84
  5. Step 5: Solve for x
    x = 3,819,225,165.84/69,582
  6. Step 6: Final answer
    x = 54,888.12

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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.