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Finding the Fourth Proportional to 94,160, 141,240.32 and 28,496

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Solution

The fourth proportional to 94,160, 141,240.32 and 28,496 is: 42,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,160 : 141,240.32 = 28,496 : x
  2. Step 2: Convert to fraction form
    94,160/141,240.32 = 28,496/x
  3. Step 3: Cross multiply
    94,160x = 141,240.32 × 28,496
  4. Step 4: Simplify right side
    94,160x = 4,024,784,158.72
  5. Step 5: Solve for x
    x = 4,024,784,158.72/94,160
  6. Step 6: Final answer
    x = 42,744.10

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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.