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Finding the Fourth Proportional to 30,888.32, 46,332.48 and 12,416

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Solution

The fourth proportional to 30,888.32, 46,332.48 and 12,416 is: 18,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888.32 : 46,332.48 = 12,416 : x
  2. Step 2: Convert to fraction form
    30,888.32/46,332.48 = 12,416/x
  3. Step 3: Cross multiply
    30,888.32x = 46,332.48 × 12,416
  4. Step 4: Simplify right side
    30,888.32x = 575,264,071.68
  5. Step 5: Solve for x
    x = 575,264,071.68/30,888.32
  6. Step 6: Final answer
    x = 18,624.00

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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.