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Finding the Fourth Proportional to 35,497.47, 53,258.76 and 15,774.24

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Solution

The fourth proportional to 35,497.47, 53,258.76 and 15,774.24 is: 23,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.47 : 53,258.76 = 15,774.24 : x
  2. Step 2: Convert to fraction form
    35,497.47/53,258.76 = 15,774.24/x
  3. Step 3: Cross multiply
    35,497.47x = 53,258.76 × 15,774.24
  4. Step 4: Simplify right side
    35,497.47x = 840,116,462.34
  5. Step 5: Solve for x
    x = 840,116,462.34/35,497.47
  6. Step 6: Final answer
    x = 23,666.94

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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.