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Finding the Fourth Proportional to 65,785, 98,678.52 and 19,038.04

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Solution

The fourth proportional to 65,785, 98,678.52 and 19,038.04 is: 28,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,785 : 98,678.52 = 19,038.04 : x
  2. Step 2: Convert to fraction form
    65,785/98,678.52 = 19,038.04/x
  3. Step 3: Cross multiply
    65,785x = 98,678.52 × 19,038.04
  4. Step 4: Simplify right side
    65,785x = 1,878,645,610.90
  5. Step 5: Solve for x
    x = 1,878,645,610.90/65,785
  6. Step 6: Final answer
    x = 28,557.36

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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.