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Finding the Fourth Proportional to 82,654.32, 114,066 and 44,931.36

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Solution

The fourth proportional to 82,654.32, 114,066 and 44,931.36 is: 62,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654.32 : 114,066 = 44,931.36 : x
  2. Step 2: Convert to fraction form
    82,654.32/114,066 = 44,931.36/x
  3. Step 3: Cross multiply
    82,654.32x = 114,066 × 44,931.36
  4. Step 4: Simplify right side
    82,654.32x = 5,125,140,509.76
  5. Step 5: Solve for x
    x = 5,125,140,509.76/82,654.32
  6. Step 6: Final answer
    x = 62,006.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.