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Finding the Fourth Proportional to 97,750.36, 134,894.82 and 53,038.36

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Solution

The fourth proportional to 97,750.36, 134,894.82 and 53,038.36 is: 73,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,750.36 : 134,894.82 = 53,038.36 : x
  2. Step 2: Convert to fraction form
    97,750.36/134,894.82 = 53,038.36/x
  3. Step 3: Cross multiply
    97,750.36x = 134,894.82 × 53,038.36
  4. Step 4: Simplify right side
    97,750.36x = 7,154,600,025.30
  5. Step 5: Solve for x
    x = 7,154,600,025.30/97,750.36
  6. Step 6: Final answer
    x = 73,192.57

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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.