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Finding the Fourth Proportional to 32,412.16, 48,621.06 and 9,038.56

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Solution

The fourth proportional to 32,412.16, 48,621.06 and 9,038.56 is: 13,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.16 : 48,621.06 = 9,038.56 : x
  2. Step 2: Convert to fraction form
    32,412.16/48,621.06 = 9,038.56/x
  3. Step 3: Cross multiply
    32,412.16x = 48,621.06 × 9,038.56
  4. Step 4: Simplify right side
    32,412.16x = 439,464,368.07
  5. Step 5: Solve for x
    x = 439,464,368.07/32,412.16
  6. Step 6: Final answer
    x = 13,558.63

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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.