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Finding the Fourth Proportional to 66,038.81, 99,056.43 and 18,657.16

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Solution

The fourth proportional to 66,038.81, 99,056.43 and 18,657.16 is: 27,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,038.81 : 99,056.43 = 18,657.16 : x
  2. Step 2: Convert to fraction form
    66,038.81/99,056.43 = 18,657.16/x
  3. Step 3: Cross multiply
    66,038.81x = 99,056.43 × 18,657.16
  4. Step 4: Simplify right side
    66,038.81x = 1,848,111,415.90
  5. Step 5: Solve for x
    x = 1,848,111,415.90/66,038.81
  6. Step 6: Final answer
    x = 27,985.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.