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Finding the Fourth Proportional to 30,547.32, 45,794.85 and 13,901.41

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Solution

The fourth proportional to 30,547.32, 45,794.85 and 13,901.41 is: 20,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.32 : 45,794.85 = 13,901.41 : x
  2. Step 2: Convert to fraction form
    30,547.32/45,794.85 = 13,901.41/x
  3. Step 3: Cross multiply
    30,547.32x = 45,794.85 × 13,901.41
  4. Step 4: Simplify right side
    30,547.32x = 636,612,985.74
  5. Step 5: Solve for x
    x = 636,612,985.74/30,547.32
  6. Step 6: Final answer
    x = 20,840.22

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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.