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Finding the Fourth Proportional to 89,108.96, 122,970.32 and 53,307.38

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Solution

The fourth proportional to 89,108.96, 122,970.32 and 53,307.38 is: 73,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,108.96 : 122,970.32 = 53,307.38 : x
  2. Step 2: Convert to fraction form
    89,108.96/122,970.32 = 53,307.38/x
  3. Step 3: Cross multiply
    89,108.96x = 122,970.32 × 53,307.38
  4. Step 4: Simplify right side
    89,108.96x = 6,555,225,095.38
  5. Step 5: Solve for x
    x = 6,555,225,095.38/89,108.96
  6. Step 6: Final answer
    x = 73,564.16

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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.