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Finding the Fourth Proportional to 30,587, 42,210.14 and 17,848.94

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Solution

The fourth proportional to 30,587, 42,210.14 and 17,848.94 is: 24,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587 : 42,210.14 = 17,848.94 : x
  2. Step 2: Convert to fraction form
    30,587/42,210.14 = 17,848.94/x
  3. Step 3: Cross multiply
    30,587x = 42,210.14 × 17,848.94
  4. Step 4: Simplify right side
    30,587x = 753,406,256.25
  5. Step 5: Solve for x
    x = 753,406,256.25/30,587
  6. Step 6: Final answer
    x = 24,631.58

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