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Finding the Fourth Proportional to 59,516.88, 89,331 and 31,457.76

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Solution

The fourth proportional to 59,516.88, 89,331 and 31,457.76 is: 47,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,516.88 : 89,331 = 31,457.76 : x
  2. Step 2: Convert to fraction form
    59,516.88/89,331 = 31,457.76/x
  3. Step 3: Cross multiply
    59,516.88x = 89,331 × 31,457.76
  4. Step 4: Simplify right side
    59,516.88x = 2,810,153,158.56
  5. Step 5: Solve for x
    x = 2,810,153,158.56/59,516.88
  6. Step 6: Final answer
    x = 47,216.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.