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Finding the Fourth Proportional to 97,782.72, 134,940.24 and 53,070.72

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Solution

The fourth proportional to 97,782.72, 134,940.24 and 53,070.72 is: 73,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782.72 : 134,940.24 = 53,070.72 : x
  2. Step 2: Convert to fraction form
    97,782.72/134,940.24 = 53,070.72/x
  3. Step 3: Cross multiply
    97,782.72x = 134,940.24 × 53,070.72
  4. Step 4: Simplify right side
    97,782.72x = 7,161,375,693.77
  5. Step 5: Solve for x
    x = 7,161,375,693.77/97,782.72
  6. Step 6: Final answer
    x = 73,237.64

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1.5x scale

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.