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Finding the Fourth Proportional to 35,496, 53,264.52 and 19,703.16

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Solution

The fourth proportional to 35,496, 53,264.52 and 19,703.16 is: 29,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496 : 53,264.52 = 19,703.16 : x
  2. Step 2: Convert to fraction form
    35,496/53,264.52 = 19,703.16/x
  3. Step 3: Cross multiply
    35,496x = 53,264.52 × 19,703.16
  4. Step 4: Simplify right side
    35,496x = 1,049,479,359.88
  5. Step 5: Solve for x
    x = 1,049,479,359.88/35,496
  6. Step 6: Final answer
    x = 29,566.13

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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.