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Finding the Fourth Proportional to 53,270, 73,510.43 and 29,396.35

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Solution

The fourth proportional to 53,270, 73,510.43 and 29,396.35 is: 40,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,270 : 73,510.43 = 29,396.35 : x
  2. Step 2: Convert to fraction form
    53,270/73,510.43 = 29,396.35/x
  3. Step 3: Cross multiply
    53,270x = 73,510.43 × 29,396.35
  4. Step 4: Simplify right side
    53,270x = 2,160,938,328.93
  5. Step 5: Solve for x
    x = 2,160,938,328.93/53,270
  6. Step 6: Final answer
    x = 40,565.77

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