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Finding the Fourth Proportional to 34,113.51, 51,154.76 and 14,381.30

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Solution

The fourth proportional to 34,113.51, 51,154.76 and 14,381.30 is: 21,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,113.51 : 51,154.76 = 14,381.30 : x
  2. Step 2: Convert to fraction form
    34,113.51/51,154.76 = 14,381.30/x
  3. Step 3: Cross multiply
    34,113.51x = 51,154.76 × 14,381.30
  4. Step 4: Simplify right side
    34,113.51x = 735,671,622.31
  5. Step 5: Solve for x
    x = 735,671,622.31/34,113.51
  6. Step 6: Final answer
    x = 21,565.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.