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Finding the Fourth Proportional to 102,031.85, 153,047.58 and 27,152

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Solution

The fourth proportional to 102,031.85, 153,047.58 and 27,152 is: 40,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.85 : 153,047.58 = 27,152 : x
  2. Step 2: Convert to fraction form
    102,031.85/153,047.58 = 27,152/x
  3. Step 3: Cross multiply
    102,031.85x = 153,047.58 × 27,152
  4. Step 4: Simplify right side
    102,031.85x = 4,155,547,892.16
  5. Step 5: Solve for x
    x = 4,155,547,892.16/102,031.85
  6. Step 6: Final answer
    x = 40,727.95

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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.