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Finding the Fourth Proportional to 101,632.16, 152,423.73 and 42,435.74

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Solution

The fourth proportional to 101,632.16, 152,423.73 and 42,435.74 is: 63,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,632.16 : 152,423.73 = 42,435.74 : x
  2. Step 2: Convert to fraction form
    101,632.16/152,423.73 = 42,435.74/x
  3. Step 3: Cross multiply
    101,632.16x = 152,423.73 × 42,435.74
  4. Step 4: Simplify right side
    101,632.16x = 6,468,213,776.11
  5. Step 5: Solve for x
    x = 6,468,213,776.11/101,632.16
  6. Step 6: Final answer
    x = 63,643.38

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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.