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Finding the Fourth Proportional to 38,748, 58,122.54 and 11,046

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Solution

The fourth proportional to 38,748, 58,122.54 and 11,046 is: 16,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748 : 58,122.54 = 11,046 : x
  2. Step 2: Convert to fraction form
    38,748/58,122.54 = 11,046/x
  3. Step 3: Cross multiply
    38,748x = 58,122.54 × 11,046
  4. Step 4: Simplify right side
    38,748x = 642,021,576.84
  5. Step 5: Solve for x
    x = 642,021,576.84/38,748
  6. Step 6: Final answer
    x = 16,569.15

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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.