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Finding the Fourth Proportional to 48,193.48, 72,294.54 and 13,133.32

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Solution

The fourth proportional to 48,193.48, 72,294.54 and 13,133.32 is: 19,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193.48 : 72,294.54 = 13,133.32 : x
  2. Step 2: Convert to fraction form
    48,193.48/72,294.54 = 13,133.32/x
  3. Step 3: Cross multiply
    48,193.48x = 72,294.54 × 13,133.32
  4. Step 4: Simplify right side
    48,193.48x = 949,467,328.07
  5. Step 5: Solve for x
    x = 949,467,328.07/48,193.48
  6. Step 6: Final answer
    x = 19,701.16

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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.