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Finding the Fourth Proportional to 142,848.52, 214,291.08 and 48,038.08

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Solution

The fourth proportional to 142,848.52, 214,291.08 and 48,038.08 is: 72,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,848.52 : 214,291.08 = 48,038.08 : x
  2. Step 2: Convert to fraction form
    142,848.52/214,291.08 = 48,038.08/x
  3. Step 3: Cross multiply
    142,848.52x = 214,291.08 × 48,038.08
  4. Step 4: Simplify right side
    142,848.52x = 10,294,132,044.33
  5. Step 5: Solve for x
    x = 10,294,132,044.33/142,848.52
  6. Step 6: Final answer
    x = 72,063.27

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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.