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Finding the Fourth Proportional to 102,531.20, 153,667.20 and 49,827.20

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Solution

The fourth proportional to 102,531.20, 153,667.20 and 49,827.20 is: 74,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,531.20 : 153,667.20 = 49,827.20 : x
  2. Step 2: Convert to fraction form
    102,531.20/153,667.20 = 49,827.20/x
  3. Step 3: Cross multiply
    102,531.20x = 153,667.20 × 49,827.20
  4. Step 4: Simplify right side
    102,531.20x = 7,656,806,307.84
  5. Step 5: Solve for x
    x = 7,656,806,307.84/102,531.20
  6. Step 6: Final answer
    x = 74,677.82

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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.