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Finding the Fourth Proportional to 113,018, 169,522.91 and 34,130.21

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Solution

The fourth proportional to 113,018, 169,522.91 and 34,130.21 is: 51,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,018 : 169,522.91 = 34,130.21 : x
  2. Step 2: Convert to fraction form
    113,018/169,522.91 = 34,130.21/x
  3. Step 3: Cross multiply
    113,018x = 169,522.91 × 34,130.21
  4. Step 4: Simplify right side
    113,018x = 5,785,852,347.46
  5. Step 5: Solve for x
    x = 5,785,852,347.46/113,018
  6. Step 6: Final answer
    x = 51,194.08

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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.