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Finding the Fourth Proportional to 78,230.88, 107,957.88 and 42,421.68

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Solution

The fourth proportional to 78,230.88, 107,957.88 and 42,421.68 is: 58,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.88 : 107,957.88 = 42,421.68 : x
  2. Step 2: Convert to fraction form
    78,230.88/107,957.88 = 42,421.68/x
  3. Step 3: Cross multiply
    78,230.88x = 107,957.88 × 42,421.68
  4. Step 4: Simplify right side
    78,230.88x = 4,579,754,638.84
  5. Step 5: Solve for x
    x = 4,579,754,638.84/78,230.88
  6. Step 6: Final answer
    x = 58,541.52

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1.5x scale

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.