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Finding the Fourth Proportional to 105,427.60, 158,141.41 and 30,547.80

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Solution

The fourth proportional to 105,427.60, 158,141.41 and 30,547.80 is: 45,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,427.60 : 158,141.41 = 30,547.80 : x
  2. Step 2: Convert to fraction form
    105,427.60/158,141.41 = 30,547.80/x
  3. Step 3: Cross multiply
    105,427.60x = 158,141.41 × 30,547.80
  4. Step 4: Simplify right side
    105,427.60x = 4,830,871,220.95
  5. Step 5: Solve for x
    x = 4,830,871,220.95/105,427.60
  6. Step 6: Final answer
    x = 45,821.70

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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.