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Finding the Fourth Proportional to 74,394, 102,676.68 and 42,564.24

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Solution

The fourth proportional to 74,394, 102,676.68 and 42,564.24 is: 58,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,394 : 102,676.68 = 42,564.24 : x
  2. Step 2: Convert to fraction form
    74,394/102,676.68 = 42,564.24/x
  3. Step 3: Cross multiply
    74,394x = 102,676.68 × 42,564.24
  4. Step 4: Simplify right side
    74,394x = 4,370,354,849.92
  5. Step 5: Solve for x
    x = 4,370,354,849.92/74,394
  6. Step 6: Final answer
    x = 58,746.07

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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.