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Finding the Fourth Proportional to 65,586.34, 90,509.16 and 37,293.76

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Solution

The fourth proportional to 65,586.34, 90,509.16 and 37,293.76 is: 51,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,586.34 : 90,509.16 = 37,293.76 : x
  2. Step 2: Convert to fraction form
    65,586.34/90,509.16 = 37,293.76/x
  3. Step 3: Cross multiply
    65,586.34x = 90,509.16 × 37,293.76
  4. Step 4: Simplify right side
    65,586.34x = 3,375,426,890.84
  5. Step 5: Solve for x
    x = 3,375,426,890.84/65,586.34
  6. Step 6: Final answer
    x = 51,465.39

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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.