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Finding the Fourth Proportional to 97,354, 134,363.10 and 59,650.12

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Solution

The fourth proportional to 97,354, 134,363.10 and 59,650.12 is: 82,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,354 : 134,363.10 = 59,650.12 : x
  2. Step 2: Convert to fraction form
    97,354/134,363.10 = 59,650.12/x
  3. Step 3: Cross multiply
    97,354x = 134,363.10 × 59,650.12
  4. Step 4: Simplify right side
    97,354x = 8,014,775,038.57
  5. Step 5: Solve for x
    x = 8,014,775,038.57/97,354
  6. Step 6: Final answer
    x = 82,326.10

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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.