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Finding the Fourth Proportional to 102,386.34, 153,569.14 and 27,496.76

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Solution

The fourth proportional to 102,386.34, 153,569.14 and 27,496.76 is: 41,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.34 : 153,569.14 = 27,496.76 : x
  2. Step 2: Convert to fraction form
    102,386.34/153,569.14 = 27,496.76/x
  3. Step 3: Cross multiply
    102,386.34x = 153,569.14 × 27,496.76
  4. Step 4: Simplify right side
    102,386.34x = 4,222,653,695.58
  5. Step 5: Solve for x
    x = 4,222,653,695.58/102,386.34
  6. Step 6: Final answer
    x = 41,242.35

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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.