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Finding the Fourth Proportional to 102,663.06, 154,000.12 and 32,547.84

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Solution

The fourth proportional to 102,663.06, 154,000.12 and 32,547.84 is: 48,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663.06 : 154,000.12 = 32,547.84 : x
  2. Step 2: Convert to fraction form
    102,663.06/154,000.12 = 32,547.84/x
  3. Step 3: Cross multiply
    102,663.06x = 154,000.12 × 32,547.84
  4. Step 4: Simplify right side
    102,663.06x = 5,012,371,265.74
  5. Step 5: Solve for x
    x = 5,012,371,265.74/102,663.06
  6. Step 6: Final answer
    x = 48,823.51

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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.