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Finding the Fourth Proportional to 35,411.40, 53,117.10 and 24,184.80

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Solution

The fourth proportional to 35,411.40, 53,117.10 and 24,184.80 is: 36,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.40 : 53,117.10 = 24,184.80 : x
  2. Step 2: Convert to fraction form
    35,411.40/53,117.10 = 24,184.80/x
  3. Step 3: Cross multiply
    35,411.40x = 53,117.10 × 24,184.80
  4. Step 4: Simplify right side
    35,411.40x = 1,284,626,440.08
  5. Step 5: Solve for x
    x = 1,284,626,440.08/35,411.40
  6. Step 6: Final answer
    x = 36,277.20

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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.