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Finding the Fourth Proportional to 37,985.04, 56,978.28 and 13,053.72

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Solution

The fourth proportional to 37,985.04, 56,978.28 and 13,053.72 is: 19,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985.04 : 56,978.28 = 13,053.72 : x
  2. Step 2: Convert to fraction form
    37,985.04/56,978.28 = 13,053.72/x
  3. Step 3: Cross multiply
    37,985.04x = 56,978.28 × 13,053.72
  4. Step 4: Simplify right side
    37,985.04x = 743,778,513.20
  5. Step 5: Solve for x
    x = 743,778,513.20/37,985.04
  6. Step 6: Final answer
    x = 19,580.83

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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.