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Finding the Fourth Proportional to 32,038.56, 48,027.60 and 15,408

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Solution

The fourth proportional to 32,038.56, 48,027.60 and 15,408 is: 23,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.56 : 48,027.60 = 15,408 : x
  2. Step 2: Convert to fraction form
    32,038.56/48,027.60 = 15,408/x
  3. Step 3: Cross multiply
    32,038.56x = 48,027.60 × 15,408
  4. Step 4: Simplify right side
    32,038.56x = 740,009,260.80
  5. Step 5: Solve for x
    x = 740,009,260.80/32,038.56
  6. Step 6: Final answer
    x = 23,097.46

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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.