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Finding the Fourth Proportional to 30,842, 46,277.08 and 15,038.32

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Solution

The fourth proportional to 30,842, 46,277.08 and 15,038.32 is: 22,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842 : 46,277.08 = 15,038.32 : x
  2. Step 2: Convert to fraction form
    30,842/46,277.08 = 15,038.32/x
  3. Step 3: Cross multiply
    30,842x = 46,277.08 × 15,038.32
  4. Step 4: Simplify right side
    30,842x = 695,929,537.71
  5. Step 5: Solve for x
    x = 695,929,537.71/30,842
  6. Step 6: Final answer
    x = 22,564.35

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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.