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Finding the Fourth Proportional to 97,774.24, 134,928.48 and 53,062.24

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Solution

The fourth proportional to 97,774.24, 134,928.48 and 53,062.24 is: 73,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,774.24 : 134,928.48 = 53,062.24 : x
  2. Step 2: Convert to fraction form
    97,774.24/134,928.48 = 53,062.24/x
  3. Step 3: Cross multiply
    97,774.24x = 134,928.48 × 53,062.24
  4. Step 4: Simplify right side
    97,774.24x = 7,159,607,388.60
  5. Step 5: Solve for x
    x = 7,159,607,388.60/97,774.24
  6. Step 6: Final answer
    x = 73,225.91

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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.