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Finding the Fourth Proportional to 37,752, 56,634.48 and 11,459.40

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Solution

The fourth proportional to 37,752, 56,634.48 and 11,459.40 is: 17,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752 : 56,634.48 = 11,459.40 : x
  2. Step 2: Convert to fraction form
    37,752/56,634.48 = 11,459.40/x
  3. Step 3: Cross multiply
    37,752x = 56,634.48 × 11,459.40
  4. Step 4: Simplify right side
    37,752x = 648,997,160.11
  5. Step 5: Solve for x
    x = 648,997,160.11/37,752
  6. Step 6: Final answer
    x = 17,191.07

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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.