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Finding the Fourth Proportional to 98,024, 135,274.16 and 53,312.96

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Solution

The fourth proportional to 98,024, 135,274.16 and 53,312.96 is: 73,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,024 : 135,274.16 = 53,312.96 : x
  2. Step 2: Convert to fraction form
    98,024/135,274.16 = 53,312.96/x
  3. Step 3: Cross multiply
    98,024x = 135,274.16 × 53,312.96
  4. Step 4: Simplify right side
    98,024x = 7,211,865,881.11
  5. Step 5: Solve for x
    x = 7,211,865,881.11/98,024
  6. Step 6: Final answer
    x = 73,572.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.