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Finding the Fourth Proportional to 109,117.46, 163,678.93 and 30,232.37

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Solution

The fourth proportional to 109,117.46, 163,678.93 and 30,232.37 is: 45,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,117.46 : 163,678.93 = 30,232.37 : x
  2. Step 2: Convert to fraction form
    109,117.46/163,678.93 = 30,232.37/x
  3. Step 3: Cross multiply
    109,117.46x = 163,678.93 × 30,232.37
  4. Step 4: Simplify right side
    109,117.46x = 4,948,402,306.58
  5. Step 5: Solve for x
    x = 4,948,402,306.58/109,117.46
  6. Step 6: Final answer
    x = 45,349.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.