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Finding the Fourth Proportional to 76,184.90, 105,134.01 and 42,652.10

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Solution

The fourth proportional to 76,184.90, 105,134.01 and 42,652.10 is: 58,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184.90 : 105,134.01 = 42,652.10 : x
  2. Step 2: Convert to fraction form
    76,184.90/105,134.01 = 42,652.10/x
  3. Step 3: Cross multiply
    76,184.90x = 105,134.01 × 42,652.10
  4. Step 4: Simplify right side
    76,184.90x = 4,484,186,307.92
  5. Step 5: Solve for x
    x = 4,484,186,307.92/76,184.90
  6. Step 6: Final answer
    x = 58,859.25

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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.