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Finding the Fourth Proportional to 65,094, 97,641.02 and 15,846

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Solution

The fourth proportional to 65,094, 97,641.02 and 15,846 is: 23,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094 : 97,641.02 = 15,846 : x
  2. Step 2: Convert to fraction form
    65,094/97,641.02 = 15,846/x
  3. Step 3: Cross multiply
    65,094x = 97,641.02 × 15,846
  4. Step 4: Simplify right side
    65,094x = 1,547,219,602.92
  5. Step 5: Solve for x
    x = 1,547,219,602.92/65,094
  6. Step 6: Final answer
    x = 23,769.00

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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.