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Finding the Fourth Proportional to 46,416, 64,054.08 and 26,547.84

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Solution

The fourth proportional to 46,416, 64,054.08 and 26,547.84 is: 36,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416 : 64,054.08 = 26,547.84 : x
  2. Step 2: Convert to fraction form
    46,416/64,054.08 = 26,547.84/x
  3. Step 3: Cross multiply
    46,416x = 64,054.08 × 26,547.84
  4. Step 4: Simplify right side
    46,416x = 1,700,497,467.19
  5. Step 5: Solve for x
    x = 1,700,497,467.19/46,416
  6. Step 6: Final answer
    x = 36,636.02

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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.