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Finding the Fourth Proportional to 35,506.98, 53,251.25 and 10,541.16

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Solution

The fourth proportional to 35,506.98, 53,251.25 and 10,541.16 is: 15,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506.98 : 53,251.25 = 10,541.16 : x
  2. Step 2: Convert to fraction form
    35,506.98/53,251.25 = 10,541.16/x
  3. Step 3: Cross multiply
    35,506.98x = 53,251.25 × 10,541.16
  4. Step 4: Simplify right side
    35,506.98x = 561,329,946.45
  5. Step 5: Solve for x
    x = 561,329,946.45/35,506.98
  6. Step 6: Final answer
    x = 15,809.00

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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.