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Finding the Fourth Proportional to 48,085.36, 72,124.36 and 13,024.08

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Solution

The fourth proportional to 48,085.36, 72,124.36 and 13,024.08 is: 19,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,085.36 : 72,124.36 = 13,024.08 : x
  2. Step 2: Convert to fraction form
    48,085.36/72,124.36 = 13,024.08/x
  3. Step 3: Cross multiply
    48,085.36x = 72,124.36 × 13,024.08
  4. Step 4: Simplify right side
    48,085.36x = 939,353,434.59
  5. Step 5: Solve for x
    x = 939,353,434.59/48,085.36
  6. Step 6: Final answer
    x = 19,535.12

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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.