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Finding the Fourth Proportional to 65,312.50, 97,969.23 and 16,064.50

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Solution

The fourth proportional to 65,312.50, 97,969.23 and 16,064.50 is: 24,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.50 : 97,969.23 = 16,064.50 : x
  2. Step 2: Convert to fraction form
    65,312.50/97,969.23 = 16,064.50/x
  3. Step 3: Cross multiply
    65,312.50x = 97,969.23 × 16,064.50
  4. Step 4: Simplify right side
    65,312.50x = 1,573,826,695.34
  5. Step 5: Solve for x
    x = 1,573,826,695.34/65,312.50
  6. Step 6: Final answer
    x = 24,096.87

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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.