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Finding the Fourth Proportional to 85,184, 117,549.03 and 48,877.76

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Solution

The fourth proportional to 85,184, 117,549.03 and 48,877.76 is: 67,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,184 : 117,549.03 = 48,877.76 : x
  2. Step 2: Convert to fraction form
    85,184/117,549.03 = 48,877.76/x
  3. Step 3: Cross multiply
    85,184x = 117,549.03 × 48,877.76
  4. Step 4: Simplify right side
    85,184x = 5,745,533,276.57
  5. Step 5: Solve for x
    x = 5,745,533,276.57/85,184
  6. Step 6: Final answer
    x = 67,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.