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Finding the Fourth Proportional to 34,937.60, 52,428 and 14,161.28

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Solution

The fourth proportional to 34,937.60, 52,428 and 14,161.28 is: 21,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,937.60 : 52,428 = 14,161.28 : x
  2. Step 2: Convert to fraction form
    34,937.60/52,428 = 14,161.28/x
  3. Step 3: Cross multiply
    34,937.60x = 52,428 × 14,161.28
  4. Step 4: Simplify right side
    34,937.60x = 742,447,587.84
  5. Step 5: Solve for x
    x = 742,447,587.84/34,937.60
  6. Step 6: Final answer
    x = 21,250.68

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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.