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Finding the Fourth Proportional to 35,710, 53,598.08 and 18,192.88

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Solution

The fourth proportional to 35,710, 53,598.08 and 18,192.88 is: 27,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710 : 53,598.08 = 18,192.88 : x
  2. Step 2: Convert to fraction form
    35,710/53,598.08 = 18,192.88/x
  3. Step 3: Cross multiply
    35,710x = 53,598.08 × 18,192.88
  4. Step 4: Simplify right side
    35,710x = 975,103,437.67
  5. Step 5: Solve for x
    x = 975,103,437.67/35,710
  6. Step 6: Final answer
    x = 27,306.17

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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.