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Finding the Fourth Proportional to 94,971, 131,048.64 and 52,523.76

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Solution

The fourth proportional to 94,971, 131,048.64 and 52,523.76 is: 72,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,971 : 131,048.64 = 52,523.76 : x
  2. Step 2: Convert to fraction form
    94,971/131,048.64 = 52,523.76/x
  3. Step 3: Cross multiply
    94,971x = 131,048.64 × 52,523.76
  4. Step 4: Simplify right side
    94,971x = 6,883,167,315.69
  5. Step 5: Solve for x
    x = 6,883,167,315.69/94,971
  6. Step 6: Final answer
    x = 72,476.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.