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Finding the Fourth Proportional to 102,447.96, 153,666.39 and 39,298.35

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Solution

The fourth proportional to 102,447.96, 153,666.39 and 39,298.35 is: 58,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447.96 : 153,666.39 = 39,298.35 : x
  2. Step 2: Convert to fraction form
    102,447.96/153,666.39 = 39,298.35/x
  3. Step 3: Cross multiply
    102,447.96x = 153,666.39 × 39,298.35
  4. Step 4: Simplify right side
    102,447.96x = 6,038,835,577.46
  5. Step 5: Solve for x
    x = 6,038,835,577.46/102,447.96
  6. Step 6: Final answer
    x = 58,945.40

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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.