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Finding the Fourth Proportional to 82,854.40, 114,339.02 and 45,128.66

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Solution

The fourth proportional to 82,854.40, 114,339.02 and 45,128.66 is: 62,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.40 : 114,339.02 = 45,128.66 : x
  2. Step 2: Convert to fraction form
    82,854.40/114,339.02 = 45,128.66/x
  3. Step 3: Cross multiply
    82,854.40x = 114,339.02 × 45,128.66
  4. Step 4: Simplify right side
    82,854.40x = 5,159,966,758.31
  5. Step 5: Solve for x
    x = 5,159,966,758.31/82,854.40
  6. Step 6: Final answer
    x = 62,277.52

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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.