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Finding the Fourth Proportional to 74,235.66, 102,434.04 and 42,397.80

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Solution

The fourth proportional to 74,235.66, 102,434.04 and 42,397.80 is: 58,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,235.66 : 102,434.04 = 42,397.80 : x
  2. Step 2: Convert to fraction form
    74,235.66/102,434.04 = 42,397.80/x
  3. Step 3: Cross multiply
    74,235.66x = 102,434.04 × 42,397.80
  4. Step 4: Simplify right side
    74,235.66x = 4,342,977,941.11
  5. Step 5: Solve for x
    x = 4,342,977,941.11/74,235.66
  6. Step 6: Final answer
    x = 58,502.58

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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.