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Finding the Fourth Proportional to 97,864.76, 135,054.06 and 53,152.76

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Solution

The fourth proportional to 97,864.76, 135,054.06 and 53,152.76 is: 73,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,864.76 : 135,054.06 = 53,152.76 : x
  2. Step 2: Convert to fraction form
    97,864.76/135,054.06 = 53,152.76/x
  3. Step 3: Cross multiply
    97,864.76x = 135,054.06 × 53,152.76
  4. Step 4: Simplify right side
    97,864.76x = 7,178,496,038.21
  5. Step 5: Solve for x
    x = 7,178,496,038.21/97,864.76
  6. Step 6: Final answer
    x = 73,351.18

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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.