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Finding the Fourth Proportional to 32,402.94, 48,607.16 and 9,029.40

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Solution

The fourth proportional to 32,402.94, 48,607.16 and 9,029.40 is: 13,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.94 : 48,607.16 = 9,029.40 : x
  2. Step 2: Convert to fraction form
    32,402.94/48,607.16 = 9,029.40/x
  3. Step 3: Cross multiply
    32,402.94x = 48,607.16 × 9,029.40
  4. Step 4: Simplify right side
    32,402.94x = 438,893,445.36
  5. Step 5: Solve for x
    x = 438,893,445.36/32,402.94
  6. Step 6: Final answer
    x = 13,544.86

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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.