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Finding the Fourth Proportional to 30,378.40, 45,573.84 and 12,848.32

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Solution

The fourth proportional to 30,378.40, 45,573.84 and 12,848.32 is: 19,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.40 : 45,573.84 = 12,848.32 : x
  2. Step 2: Convert to fraction form
    30,378.40/45,573.84 = 12,848.32/x
  3. Step 3: Cross multiply
    30,378.40x = 45,573.84 × 12,848.32
  4. Step 4: Simplify right side
    30,378.40x = 585,547,279.95
  5. Step 5: Solve for x
    x = 585,547,279.95/30,378.40
  6. Step 6: Final answer
    x = 19,275.12

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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.