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Finding the Fourth Proportional to 103,482, 142,805.34 and 58,770

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Solution

The fourth proportional to 103,482, 142,805.34 and 58,770 is: 81,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482 : 142,805.34 = 58,770 : x
  2. Step 2: Convert to fraction form
    103,482/142,805.34 = 58,770/x
  3. Step 3: Cross multiply
    103,482x = 142,805.34 × 58,770
  4. Step 4: Simplify right side
    103,482x = 8,392,669,831.80
  5. Step 5: Solve for x
    x = 8,392,669,831.80/103,482
  6. Step 6: Final answer
    x = 81,102.70

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