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Finding the Fourth Proportional to 65,005.40, 89,749.14 and 53,097.32

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Solution

The fourth proportional to 65,005.40, 89,749.14 and 53,097.32 is: 73,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,005.40 : 89,749.14 = 53,097.32 : x
  2. Step 2: Convert to fraction form
    65,005.40/89,749.14 = 53,097.32/x
  3. Step 3: Cross multiply
    65,005.40x = 89,749.14 × 53,097.32
  4. Step 4: Simplify right side
    65,005.40x = 4,765,438,806.30
  5. Step 5: Solve for x
    x = 4,765,438,806.30/65,005.40
  6. Step 6: Final answer
    x = 73,308.35

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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.