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Finding the Fourth Proportional to 30,377.68, 45,575.27 and 9,320.81

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Solution

The fourth proportional to 30,377.68, 45,575.27 and 9,320.81 is: 13,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.68 : 45,575.27 = 9,320.81 : x
  2. Step 2: Convert to fraction form
    30,377.68/45,575.27 = 9,320.81/x
  3. Step 3: Cross multiply
    30,377.68x = 45,575.27 × 9,320.81
  4. Step 4: Simplify right side
    30,377.68x = 424,798,569.61
  5. Step 5: Solve for x
    x = 424,798,569.61/30,377.68
  6. Step 6: Final answer
    x = 13,983.91

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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.