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Finding the Fourth Proportional to 42,967.35, 64,487.93 and 24,265.77

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Solution

The fourth proportional to 42,967.35, 64,487.93 and 24,265.77 is: 36,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,967.35 : 64,487.93 = 24,265.77 : x
  2. Step 2: Convert to fraction form
    42,967.35/64,487.93 = 24,265.77/x
  3. Step 3: Cross multiply
    42,967.35x = 64,487.93 × 24,265.77
  4. Step 4: Simplify right side
    42,967.35x = 1,564,849,277.16
  5. Step 5: Solve for x
    x = 1,564,849,277.16/42,967.35
  6. Step 6: Final answer
    x = 36,419.50

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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.