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Finding the Fourth Proportional to 98,686.92, 148,088.70 and 36,401.16

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Solution

The fourth proportional to 98,686.92, 148,088.70 and 36,401.16 is: 54,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,686.92 : 148,088.70 = 36,401.16 : x
  2. Step 2: Convert to fraction form
    98,686.92/148,088.70 = 36,401.16/x
  3. Step 3: Cross multiply
    98,686.92x = 148,088.70 × 36,401.16
  4. Step 4: Simplify right side
    98,686.92x = 5,390,600,462.89
  5. Step 5: Solve for x
    x = 5,390,600,462.89/98,686.92
  6. Step 6: Final answer
    x = 54,623.25

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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.