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Finding the Fourth Proportional to 30,264.88, 45,397.34 and 9,490

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Solution

The fourth proportional to 30,264.88, 45,397.34 and 9,490 is: 14,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.88 : 45,397.34 = 9,490 : x
  2. Step 2: Convert to fraction form
    30,264.88/45,397.34 = 9,490/x
  3. Step 3: Cross multiply
    30,264.88x = 45,397.34 × 9,490
  4. Step 4: Simplify right side
    30,264.88x = 430,820,756.60
  5. Step 5: Solve for x
    x = 430,820,756.60/30,264.88
  6. Step 6: Final answer
    x = 14,235.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.