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Finding the Fourth Proportional to 102,023.32, 152,950.74 and 45,056.65

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Solution

The fourth proportional to 102,023.32, 152,950.74 and 45,056.65 is: 67,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.32 : 152,950.74 = 45,056.65 : x
  2. Step 2: Convert to fraction form
    102,023.32/152,950.74 = 45,056.65/x
  3. Step 3: Cross multiply
    102,023.32x = 152,950.74 × 45,056.65
  4. Step 4: Simplify right side
    102,023.32x = 6,891,447,959.42
  5. Step 5: Solve for x
    x = 6,891,447,959.42/102,023.32
  6. Step 6: Final answer
    x = 67,547.77

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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.