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Finding the Fourth Proportional to 98,030.40, 147,002.40 and 38,846.40

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Solution

The fourth proportional to 98,030.40, 147,002.40 and 38,846.40 is: 58,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030.40 : 147,002.40 = 38,846.40 : x
  2. Step 2: Convert to fraction form
    98,030.40/147,002.40 = 38,846.40/x
  3. Step 3: Cross multiply
    98,030.40x = 147,002.40 × 38,846.40
  4. Step 4: Simplify right side
    98,030.40x = 5,710,514,031.36
  5. Step 5: Solve for x
    x = 5,710,514,031.36/98,030.40
  6. Step 6: Final answer
    x = 58,252.48

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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.