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Finding the Fourth Proportional to 92,352, 138,534.48 and 36,948

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Solution

The fourth proportional to 92,352, 138,534.48 and 36,948 is: 55,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,352 : 138,534.48 = 36,948 : x
  2. Step 2: Convert to fraction form
    92,352/138,534.48 = 36,948/x
  3. Step 3: Cross multiply
    92,352x = 138,534.48 × 36,948
  4. Step 4: Simplify right side
    92,352x = 5,118,571,967.04
  5. Step 5: Solve for x
    x = 5,118,571,967.04/92,352
  6. Step 6: Final answer
    x = 55,424.59

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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.