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Finding the Fourth Proportional to 73,864.48, 101,929.42 and 42,030.40

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Solution

The fourth proportional to 73,864.48, 101,929.42 and 42,030.40 is: 57,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,864.48 : 101,929.42 = 42,030.40 : x
  2. Step 2: Convert to fraction form
    73,864.48/101,929.42 = 42,030.40/x
  3. Step 3: Cross multiply
    73,864.48x = 101,929.42 × 42,030.40
  4. Step 4: Simplify right side
    73,864.48x = 4,284,134,294.37
  5. Step 5: Solve for x
    x = 4,284,134,294.37/73,864.48
  6. Step 6: Final answer
    x = 57,999.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.