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Finding the Fourth Proportional to 32,419.56, 48,629.34 and 9,046

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Solution

The fourth proportional to 32,419.56, 48,629.34 and 9,046 is: 13,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.56 : 48,629.34 = 9,046 : x
  2. Step 2: Convert to fraction form
    32,419.56/48,629.34 = 9,046/x
  3. Step 3: Cross multiply
    32,419.56x = 48,629.34 × 9,046
  4. Step 4: Simplify right side
    32,419.56x = 439,901,009.64
  5. Step 5: Solve for x
    x = 439,901,009.64/32,419.56
  6. Step 6: Final answer
    x = 13,569.00

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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.