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Finding the Fourth Proportional to 52,490.40, 78,746.40 and 17,455.20

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Solution

The fourth proportional to 52,490.40, 78,746.40 and 17,455.20 is: 26,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490.40 : 78,746.40 = 17,455.20 : x
  2. Step 2: Convert to fraction form
    52,490.40/78,746.40 = 17,455.20/x
  3. Step 3: Cross multiply
    52,490.40x = 78,746.40 × 17,455.20
  4. Step 4: Simplify right side
    52,490.40x = 1,374,534,161.28
  5. Step 5: Solve for x
    x = 1,374,534,161.28/52,490.40
  6. Step 6: Final answer
    x = 26,186.39

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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.