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Finding the Fourth Proportional to 19,541.64, 29,312.04 and 4,750.64

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Solution

The fourth proportional to 19,541.64, 29,312.04 and 4,750.64 is: 7,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.64 : 29,312.04 = 4,750.64 : x
  2. Step 2: Convert to fraction form
    19,541.64/29,312.04 = 4,750.64/x
  3. Step 3: Cross multiply
    19,541.64x = 29,312.04 × 4,750.64
  4. Step 4: Simplify right side
    19,541.64x = 139,250,949.71
  5. Step 5: Solve for x
    x = 139,250,949.71/19,541.64
  6. Step 6: Final answer
    x = 7,125.86

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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.